Question

rationalize the denominator of 1÷root2​

Answer 1

Answer:

√2 is the answer as 1/√2*√2/√2 =

Step-by-step explanation:

√2

Answer 2

Step-by-step explanation:

$\bf \underline{Solution-}$

Given expression

$\frac{1}{ \sqrt{2} }$

The denominator is √2.

We know that

Rationalising factor of √a is √a. To Rationalise the denominator of 1/√2, we multiply this by √2/√2.

$\frac{1}{ \sqrt{2} }$

$= \frac{1}{ \sqrt{2} } \times \frac{ \sqrt{2} }{ \sqrt{2} }$

$= \frac{1 \sqrt{2} }{ \sqrt{2 \times 2} }$

$= \frac{ \sqrt{2} }{ \sqrt{2 \times 2} }$

$\bf = \frac{ \sqrt{2} }{2} \: ans.$