Rationalise the denominators of the following : (i) 1/√ 7

Question

Rationalise the denominators of the following :

(i) \(\frac{1}{\sqrt 7}\)

(ii) \(\frac{1}{\sqrt 7 - \sqrt 6}\)

(iii) \(\frac{1}{\sqrt5 + \sqrt2}\)

(iv) \(\frac{1}{\sqrt7 - 2}\)

Answer 1

 (i) \(\frac{1}{\sqrt 7}\)

Denominator’s factor is √7 Mulitplying Numerator and denominator

Denominator’s factor is √7 + √6

Multiplying numerator and denominator by √7 + √6

Denominator’s factor is √5 - √2

Multiplying numerator and denominator by √5 - √2.

 (iv) \(\frac{1}{\sqrt7 - 2}\)

Denominator’s factor is √7 + 2

Multiplying numerator and denominator by √7 + 2.