Question

Vrite
Rationalise the denominator
1/
$\sqrt{7}$
​

Answer 1

Step-by-step explanation:

1 x √7

√7 x √ 7

√7 / 7

multiply √7 in numerator and denominator

Answer 2

Step-by-step explanation:

$\bf \underline{Solution-}$

Given expression

$\frac{1}{ \sqrt{7} }$

We know that rationalising factor of √a is √a. To rationalise the denominator of 1/√7, we multiply this by √7/√7.

$= \frac{1}{ \sqrt{7} } \times \frac{ \sqrt{7} }{ \sqrt{7} }$

$= \frac{1( \sqrt{7}) }{ \sqrt{7 \times 7} }$

$= \frac{ \sqrt{7} }{ \sqrt{7 \times 7} }$

$\bf= \frac{ \sqrt{7} }{7} \: ans.$