Question

Rationalise the denominator : (a) √2/2+√2  (b)  2/√7
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Answer 1

Answer:

(a) Given √2/2+√2, By rationalising the denominator , we get (√2/2+√2)× 2-√2/2-√2 = √2(2-√2) / 2+√2(2-√2) = 2√2 -2/ 4-2 =2√2-2/ 2 =2(√2-1) / 2 = √2-1. Hence by rationalising the denominator, we get √2/2+√2 = √2-1.

Step-by-step explanation:

(b) Given 2/√7 , By rationalising the denominator, we get (2/√7)× √7/√7 = 2√7/7 . Hence by rationalising the denominator, we get 2/√7 = 2√7/7. Hope this helps you.