Question

How do you ratify the denominator for 2/ 2(sqrt2)? When I multiply by sqrt2/sqrt 2 I'm still left with a radical in the denominator.

Answer 1

Answer: $\dfrac{\sqrt{2}}{2}$

Step-by-step explanation:

Given

The fraction is $\dfrac{2}{2\sqrt{2}}$

Making denominator a number, multiply and divide by $\sqrt{2}$

$\Rightarrow \dfrac{2}{2\sqrt{2}}\times \dfrac{\sqrt{2}}{\sqrt{2}}\\\\\Rightarrow \dfrac{2\sqrt{2}}{2\sqrt{2}\times \sqrt{2}}=\dfrac{2\sqrt{2}}{2\sqrt{2\times 2}}\\\\\text{cancel out the common term 2}\\\\\Rightarrow \dfrac{\sqrt{2}}{2}$