Question

rationalising factor of 1/5√2 is

Answer 1

For rationalizing the denominator of 1/5√2

The numerator and denominator have to be multiplied and the sum will go like this -

The rationalizing factor of 1/5√2 is √2. (1*√2)/(5√2*√2) √2/10

So the final answer is √2/10.

Answer 2

Answer:

The rationalizing factor of the number is $\sqrt2$

Step-by-step explanation:

Given : Number $\frac{1}{5\sqrt2}$

To find : Rationalizing factor of number ?

Solution :

We do rationalizing to make the denominator free from square roots.

For rationalizing we multiply and divide the number by denominator square root.

Number $\frac{1}{5\sqrt2}$

Rationalize by multiplying and dividing by $\sqrt2$

$=\frac{1}{5\sqrt2}\times \frac{\sqrt 2}{\sqrt 2}$

$=\frac{\sqrt 2}{5\times 2}$

$=\frac{\sqrt 2}{10}$

Therefore, The rationalizing factor of the number is $\sqrt2$