Maths Gcse Edexcel Higher
-
Scatter-Graphs-And-Correlation Edexcel Higher2 主题
-
Cumulative-Frequency-And-Box-Plots Edexcel Higher4 主题
-
Histograms Edexcel Higher3 主题
-
Statistical-Diagrams Edexcel Higher7 主题
-
Averages-Ranges-And-Data Edexcel Higher8 主题
-
Capture-Recapture Edexcel Higher
-
Population-And-Sampling Edexcel Higher
-
Comparing-Data-Sets Edexcel Higher
-
Range-And-Interquartile-Range Edexcel Higher
-
Averages-From-Grouped-Data Edexcel Higher
-
Averages-From-Tables Edexcel Higher
-
Calculations-With-The-Mean Edexcel Higher
-
Mean-Median-And-Mode Edexcel Higher
-
Capture-Recapture Edexcel Higher
-
Combined-And-Conditional-Probability Edexcel Higher3 主题
-
Tree-Diagrams Edexcel Higher1 主题
-
Simple-Probability-Diagrams Edexcel Higher3 主题
-
Transformations Edexcel Higher5 主题
-
Vectors Edexcel Higher6 主题
-
3D-Pythagoras-And-Trigonometry Edexcel Higher1 主题
-
Sine-Cosine-Rule-And-Area-Of-Triangles Edexcel Higher4 主题
-
Pythagoras-And-Trigonometry Edexcel Higher4 主题
-
Area-And-Volume-Of-Similar-Shapes Edexcel Higher1 主题
-
Congruence-Similarity-And-Geometrical-Proof Edexcel Higher5 主题
-
Volume-And-Surface-Area Edexcel Higher3 主题
-
Circles-Arcs-And-Sectors Edexcel Higher2 主题
-
Area-And-Perimeter Edexcel Higher4 主题
-
Circle-Theorems Edexcel Higher7 主题
-
Circle-Theorem-Proofs Edexcel Higher
-
The-Alternate-Segment-Theorem Edexcel Higher
-
Angles-In-The-Same-Segment Edexcel Higher
-
Angles-In-Cyclic-Quadrilaterals Edexcel Higher
-
Theorems-With-Chords-And-Tangents Edexcel Higher
-
Angle-In-A-Semicircle Edexcel Higher
-
Angles-At-Centre-And-Circumference Edexcel Higher
-
Circle-Theorem-Proofs Edexcel Higher
-
Bearings-Scale-Drawing-Constructions-And-Loci Edexcel Higher5 主题
-
Angles-In-Polygons-And-Parallel-Lines Edexcel Higher3 主题
-
Symmetry-And-Shapes Edexcel Higher6 主题
-
Exchange-Rates-And-Best-Buys Edexcel Higher2 主题
-
Standard-And-Compound-Units Edexcel Higher5 主题
-
Direct-And-Inverse-Proportion Edexcel Higher2 主题
-
Problem-Solving-With-Ratios Edexcel Higher2 主题
-
Ratios Edexcel Higher3 主题
-
Sequences Edexcel Higher4 主题
-
Transformations-Of-Graphs Edexcel Higher2 主题
-
Graphing-Inequalities Edexcel Higher2 主题
-
Solving-Inequalities Edexcel Higher2 主题
-
Real-Life-Graphs Edexcel Higher4 主题
-
Estimating-Gradients-And-Areas-Under-Graphs Edexcel Higher2 主题
-
Equation-Of-A-Circle Edexcel Higher2 主题
-
Graphs-Of-Functions Edexcel Higher6 主题
-
Linear-Graphs Edexcel Higher4 主题
-
Coordinate-Geometry Edexcel Higher4 主题
-
Functions Edexcel Higher3 主题
-
Forming-And-Solving-Equations Edexcel Higher3 主题
-
Iteration Edexcel Higher1 主题
-
Simultaneous-Equations Edexcel Higher2 主题
-
Quadratic-Equations Edexcel Higher4 主题
-
Linear-Equations Edexcel Higher1 主题
-
Algebraic-Proof Edexcel Higher1 主题
-
Rearranging-Formulas Edexcel Higher2 主题
-
Algebraic-Fractions Edexcel Higher4 主题
-
Completing-The-Square Edexcel Higher1 主题
-
Factorising Edexcel Higher6 主题
-
Expanding-Brackets Edexcel Higher3 主题
-
Algebraic-Roots-And-Indices Edexcel Higher1 主题
-
Introduction Edexcel Higher7 主题
-
Using-A-Calculator Edexcel Higher1 主题
-
Surds Edexcel Higher2 主题
-
Rounding-Estimation-And-Bounds Edexcel Higher2 主题
-
Fractions-Decimals-And-Percentages Edexcel Higher3 主题
-
Simple-And-Compound-Interest-Growth-And-Decay Edexcel Higher4 主题
-
Percentages Edexcel Higher3 主题
-
Fractions Edexcel Higher4 主题
-
Powers-Roots-And-Standard-Form Edexcel Higher4 主题
-
Prime-Factors-Hcf-And-Lcm Edexcel Higher4 主题
-
Number-Operations Edexcel Higher10 主题
-
Product-Rule-For-Counting Edexcel Higher
-
Systematic-Lists Edexcel Higher
-
Related-Calculations Edexcel Higher
-
Multiplication-And-Division Edexcel Higher
-
Addition-And-Subtraction Edexcel Higher
-
Money-Calculations Edexcel Higher
-
Negative-Numbers Edexcel Higher
-
Irrational-Numbers Edexcel Higher
-
Order-Of-Operations-Bidmas-Bodmas Edexcel Higher
-
Mathematical-Symbols Edexcel Higher
-
Product-Rule-For-Counting Edexcel Higher
Simplifying-Surds Edexcel Higher
Exam code:1MA1
Surds & exact values
What is a surd?
-
A surd is the square root of a non-square integer
-
Using surds lets you leave answers in exact form
-
e.g.
rather than
-

How do I do calculations with surds?
-
Multiplying surds
-
You can multiply numbers under square roots together
-
-
-
Dividing surds
-
You can divide numbers under square roots
-
<img alt=”fraction numerator square root of 21 over denominator square root of 7 end fraction equals square root of 21 space divided by space square root of 7 equals space square root of 21 space divided by space 7 space end root equals space square root of 3″ data-mathml=”<math ><semantics><mrow><mfrac><msqrt><mn>21</mn></msqrt><msqrt><mn>7</mn></msqrt></mfrac><mo>=</mo><msqrt><mn>21</mn></msqrt><mo> </mo><mo>÷</mo><mo> </mo><msqrt><mn>7</mn></msqrt><mo>=</mo><mo> </mo><msqrt><mn>21</mn><mo> </mo><mo>÷</mo><mo> </mo><mn>7</mn><mo> </mo></msqrt><mo>=</mo><mo> </mo><msqrt><mn>3</mn></msqrt></mrow><annotation encoding=”application/vnd.wiris.mtweb-params+json”>{“fontFamily”:”Times New Roman”,”fontSize”:”18″,”autoformat”:true,”toolbar”:”<toolbar ref=’general’><tab ref=’general’><removeItem ref=’setColor’/><removeItem ref=’bold’/><removeItem ref=’italic’/><removeItem ref=’autoItalic’/><removeItem ref=’setUnicode’/><removeItem ref=’mtext’ /><removeItem ref=’rtl’/><removeItem ref=’forceLigature’/><removeItem ref=’setFontFamily’ /><removeItem ref=’setFontSize’/></tab></toolbar>”}</annotation></semantics></math>” height=”55″ role=”math” src=”data:image/svg+xml;charset=utf8,%3Csvg%20xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F2000%2Fsvg%22%20xmlns%3Awrs%3D%22http%3A%2F%2Fwww.wiris.com%2Fxml%2Fmathml-extension%22%20height%3D%2255%22%20width%3D%22295%22%20wrs%3Abaseline%3D%2234%22%3E%3C!–MathML%3A%20%3Cmath%20xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmfrac%3E%3Cmsqrt%3E%3Cmn%3E21%3C%2Fmn%3E%3C%2Fmsqrt%3E%3Cmsqrt%3E%3Cmn%3E7%3C%2Fmn%3E%3C%2Fmsqrt%3E%3C%2Fmfrac%3E%3Cmo%3E%3D%3C%2Fmo%3E%3Cmsqrt%3E%3Cmn%3E21%3C%2Fmn%3E%3C%2Fmsqrt%3E%3Cmo%3E%26%23xA0%3B%3C%2Fmo%3E%3Cmo%3E%26%23xF7%3B%3C%2Fmo%3E%3Cmo%3E%26%23xA0%3B%3C%2Fmo%3E%3Cmsqrt%3E%3Cmn%3E7%3C%2Fmn%3E%3C%2Fmsqrt%3E%3Cmo%3E%3D%3C%2Fmo%3E%3Cmo%3E%26%23xA0%3B%3C%2Fmo%3E%3Cmsqrt%3E%3Cmn%3E21%3C%2Fmn%3E%3Cmo%3E%26%23xA0%3B%3C%2Fmo%3E%3Cmo%3E%26%23xF7%3B%3C%2Fmo%3E%3Cmo%3E%26%23xA0%3B%3C%2Fmo%3E%3Cmn%3E7%3C%2Fmn%3E%3Cmo%3E%26%23xA0%3B%3C%2Fmo%3E%3C%2Fmsqrt%3E%3Cmo%3E%3D%3C%2Fmo%3E%3Cmo%3E%26%23xA0%3B%3C%2Fmo%3E%3Cmsqrt%3E%3Cmn%3E3%3C%2Fmn%3E%3C%2Fmsqrt%3E%3C%2Fmath%3E–%3E%3Cdefs%3E%3Cstyle%20type%3D%22text%2Fcss%22%3E%40font-face%7Bfont-family%3A’math168aae17e4d513c259172de8723’%3Bsrc%3Aurl(data%3Afont%2Ftruetype%3Bcharset%3Dutf-8%3Bbase64%2CAAEAAAAMAIAAAwBAT1MvMi7iBBMAAADMAAAATmNtYXDEvmKUAAABHAAAADxjdnQgDVUNBwAAAVgAAAA6Z2x5ZoPi2VsAAAGUAAABJWhlYWQQC2qxAAACvAAAADZoaGVhCGsXSAAAAvQAAAAkaG10eE2rRkcAAAMYAAAADGxvY2EAHTwYAAADJAAAABBtYXhwBT0FPgAAAzQAAAAgbmFtZaBxlY4AAANUAAABn3Bvc3QB9wD6AAAE9AAAACBwcmVwa1uragAABRQAAAAUAAADSwGQAAUAAAQABAAAAAAABAAEAAAAAAAAAQEAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACAgICAAAAAg1UADev96AAAD6ACWAAAAAAACAAEAAQAAABQAAwABAAAAFAAEACgAAAAGAAQAAQACAD0A9%2F%2F%2FAAAAPQD3%2F%2F%2F%2FxP8LAAEAAAAAAAAAAAFUAywAgAEAAFYAKgJYAh4BDgEsAiwAWgGAAoAAoADUAIAAAAAAAAAAKwBVAIAAqwDVAQABKwAHAAAAAgBVAAADAAOrAAMABwAAMxEhESUhESFVAqv9qwIA%2FgADq%2FxVVQMAAAIAgADrAtUCFQADAAcAZRgBsAgQsAbUsAYQsAXUsAgQsAHUsAEQsADUsAYQsAc8sAUQsAQ8sAEQsAI8sAAQsAM8ALAIELAG1LAGELAH1LAHELAB1LABELAC1LAGELAFPLAHELAEPLABELAAPLACELADPDEwEyE1IR0BITWAAlX9qwJVAcBV1VVVAAMAgACAAwACgAADAAcACwBBGAGwBBCxAAP0sQQH9LAIPLEFEfSwCjyxAQf0sQwD5gCxAwwQ1bEABfWwAxCxCAX1sQsR9bAAELEHBfWxBBH1MDETIRUhATMVIxEzFSOAAoD9gAEAgICAgAGrVgErgP8AgAAAAAABAAAAAQAA1XjOQV8PPPUAAwQA%2F%2F%2F%2F%2F9Y6E3P%2F%2F%2F%2F%2F1joTcwAA%2FyAEgAOrAAAACgACAAEAAAAAAAEAAAPo%2F2oAABdwAAD%2FtgSAAAEAAAAAAAAAAAAAAAAAAAADA1IAVQNWAIADgACAAAAAAAAAACgAAACyAAABJQABAAAAAwBeAAUAAAAAAAIAgAQAAAAAAAQAAN4AAAAAAAAAFQECAAAAAAAAAAEAEgAAAAAAAAAAAAIADgASAAAAAAAAAAMAMAAgAAAAAAAAAAQAEgBQAAAAAAAAAAUAFgBiAAAAAAAAAAYACQB4AAAAAAAAAAgAHACBAAEAAAAAAAEAEgAAAAEAAAAAAAIADgASAAEAAAAAAAMAMAAgAAEAAAAAAAQAEgBQAAEAAAAAAAUAFgBiAAEAAAAAAAYACQB4AAEAAAAAAAgAHACBAAMAAQQJAAEAEgAAAAMAAQQJAAIADgASAAMAAQQJAAMAMAAgAAMAAQQJAAQAEgBQAAMAAQQJAAUAFgBiAAMAAQQJAAYACQB4AAMAAQQJAAgAHACBAE0AYQB0AGgAIABGAG8AbgB0AFIAZQBnAHUAbABhAHIATQBhAHQAaABzACAARgBvAHIAIABNAG8AcgBlACAATQBhAHQAaAAgAEYAbwBuAHQATQBhAHQAaAAgAEYAbwBuAHQAVgBlAHIAcwBpAG8AbgAgADEALgAwTWF0aF9Gb250AE0AYQB0AGgAcwAgAEYAbwByACAATQBvAHIAZQAAAwAAAAAAAAH0APoAAAAAAAAAAAAAAAAAAAAAAAAAALkHEQAAjYUYALIAAAAVFBOxAAE%2F)format(‘truetype’)%3Bfont-weight%3Anormal%3Bfont-style%3Anormal%3B%7D%3C%2Fstyle%3E%3C%2Fdefs%3E%3Cline%20stroke%3D%22%23000000%22%20stroke-linecap%3D%22square%22%20stroke-width%3D%221%22%20×1%3D%222.5%22%20×2%3D%2241.5%22%20y1%3D%2227.5%22%20y2%3D%2227.5%22%2F%3E%3Cpolyline%20fill%3D%22none%22%20points%3D%2214%2C-19%2013%2C-19%206%2C0%202%2C-7%22%20stroke%3D%22%23000000%22%20stroke-linecap%3D%22square%22%20stroke-width%3D%221%22%20transform%3D%22translate(4.5%2C23.5)%22%2F%3E%3Cpolyline%20fill%3D%22none%22%20points%3D%226%2C0%202%2C-7%201%2C-6%22%20stroke%3D%22%23000000%22%20stroke-linecap%3D%22square%22%20stroke-width%3D%221%22%20transform%3D%22translate(4.5%2C23.5)%22%2F%3E%3Cline%20stroke%3D%22%23000000%22%20stroke-linecap%3D%22square%22%20stroke-width%3D%221%22%20×1%3D%2218.5%22%20×2%3D%2239.5%22%20y1%3D%224.5%22%20y2%3D%224.5%22%2F%3E%3Ctext%20font-family%3D%22Times%20New%20Roman%22%20font-size%3D%2218%22%20text-anchor%3D%22middle%22%20x%3D%2229.5%22%20y%3D%2220%22%3E21%3C%2Ftext%3E%3Cpolyline%20fill%3D%22none%22%
-
Responses