Question

Rationalise the denominator of 1/root2​

Answer 1

Step-by-step explanation:

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

To find: the Rationalization of $\frac{1}{\sqrt{2} }$

• We know, Rationalizing is a process to remove any kind of radicals such as an irrational number are removed from the denominator of a fraction to make the calculation easier.

• To rationalize $\frac{1}{\sqrt{2} }$, we multiply both numerator and denominator with $\sqrt{2}$.

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

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

     ⇒$\frac{\sqrt{2} }{2}$

Hence, the rationalization of $\frac{1}{\sqrt{2} }$ is $\frac{\sqrt{2} }{2}$

Answer 2

Answer:

√2/2

Step-by-step explanation:

1/√2

=1 * √2 / √2*√2

=√2/2