Question

rationalise the denominator 1/√7​

Answer 1

Step-by-step explanation:

We need to rationalise

7

1

Multiply numerator and denominator by

7

, we get

=

(

7

×

7

1(

7

)

=

7

7

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.

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

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

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

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