Question

rationalise the denominator
1/√2

Answer 1

Answer:

√2/2

Step-by-step explanation:

we need to remove√ . i.e multiply and divide √2

1/√2 x √2/√2

√2/(√2)^2

√2*√2 = 2

i.e √2/2

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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.

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

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

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

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

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