/Tag: Surds
28 11, 2016

Expanding Surds

By |2016-11-28T07:07:04+00:00November 28th, 2016|Tags: , , , |0 Comments

Expanding Surds worked examples Expand and simplify √3(10 - √2). = 10√3 - √6 multiply √3 by 10, remembering that if you multiply a number by a surd the number part stays out front of the surd, similar to 10 × y = 10y so 10 × √3 = 10√3 multiply √3 by √2, remembering [...]

28 11, 2016

Dividing Surds

By |2016-11-28T07:04:44+00:00November 28th, 2016|Tags: , , , |0 Comments

Dividing Surds $$\frac{\sqrt{a}}{\sqrt{b}}=\sqrt{\frac{a}{b}}$$ worked examples Simplify √10 ÷ √2. $$\sqrt{10\div2}$$ = √5 divide the surds part to form single surd and then simplify. Simplify 15√12 ÷ 3√6. = 5√2 think of this as two separate questions: divide the number parts by each other and then divide the surd parts [...]

28 11, 2016

Multiplying Surds

By |2016-11-29T10:51:22+00:00November 28th, 2016|Tags: , , , |0 Comments

Multiplying Surds $$\sqrt{a}\times\sqrt{b}=\sqrt{ab}$$ $$\sqrt{a}\times\sqrt{a}=a$$ $$\sqrt{a}^2=a$$ worked examples Simplify √3 × √3.  = √9 = 3 multiply the things in the surds togetther as a single surd and then simplify. Simplify √3 × √5. $$=\sqrt{3\times5}$$ = √15 multiply the surds together and if they can't be simplified, then [...]

7 05, 2016

Rationalising The Denominator

By |2017-02-06T16:25:42+00:00May 7th, 2016|Tags: , |0 Comments

Rationalising The Denominator worked examples $$\frac{1}{{\sqrt 2 }}$$ When we have a single surd in the denominator then we multiply by that surd over itself to rationalise $$=\frac{1}{{\sqrt 2 }} \times \frac{{\sqrt 2 }}{{\sqrt 2 }}$$   $$\frac{\sqrt 2 }{{2}}$$     $$\frac{7\sqrt3}{2\sqrt6}$$ we only need [...]

7 05, 2016

Single Surds

By |2017-02-19T11:20:29+00:00May 7th, 2016|Tags: , , |0 Comments

Single Surds worked examples Express 2√2 as a single surd. = √4 × √2 this is the reverse process of simplifying a surd, so we look at what it was before it was simplified: the 2 was originally √4 and we can leave the √2 alone = 2√2 combine into [...]

7 05, 2016

Simplifying Surds

By |2016-11-28T05:57:03+00:00May 7th, 2016|Tags: , , |0 Comments

Simplifying Surds In order to simplify a surd, we need to break it down into it factors, at least one of which must be a perfect square. It is a good idea to consider a list of all the perfect squares. This has been dubbed The Good Factor List. [...]

7 05, 2016

Surds

By |2016-11-28T07:05:39+00:00May 7th, 2016|Tags: , |0 Comments

Surds Go to the Surds Forum to see more questions or ask your own Topics Covered in Surds Simplifying Surds Adding and Subtracting Single Surds Multiplying Dividing Surds Expanding Surds Expanding Binomial Surds Rationalising The Denominator [...]

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