Question

Rationalise the denominator 10/root 2

Answer 1

So,

A denominator is rationalized when there are no irrational or imaginary numbers in it.  Since the square root of 2 is irrational, we just need to multiply the fraction by the square root of 2 over the square root of 2.

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

Multiply the fraction by the square root of 2 over the square root of 2.
$\frac{10\sqrt{2}}{ \sqrt{2}*\sqrt{2} }$

Simplify.
$\frac{10\sqrt{2}}{2}$

$5\sqrt{2}$

The denominator is now 1, which is a rational number.

Answer 2

Multiply the numerator and denominator by √2
10√2/2
Simplify
5√2