Question

What is the rationalising factor of root 18

Answer 1

rationalising factor of √18 is √18

Answer 2

Answer:

Simplest rationalizing factor is $\sqrt{2}$.

Step-by-step explanation:

To find : What is the rationalizing factor of root 18 ?

Solution :

Factoring the number 18,

$18=2 \times 3 \times 3$

$18=2 \times{3}^{2}$

Taking root both side,

$\sqrt{18}=\sqrt{2\times{3}^{2}}$

$\sqrt{18}=3\sqrt{2}$

To rationalize $3\sqrt{2}$,

We should multiply it with $\sqrt{2}$

$\sqrt{18}\times \sqrt{2}=3\sqrt{2}\times \sqrt2$

$\sqrt{36}=6$

So simplest rationalizing factor is $\sqrt{2}$.