Question

Exapress 2÷3×√18 as a pure surd

Answer 1

The answer is 02.8284approx

Answer 2

Answer:  $2^\frac{3}{2}$ is a pure surd.

Step-by-step explanation:

Since we have given that

$2\div 3\times \sqrt{18}$

We need to change it in pure surd.

Pure surd means the whole rational number under a surd or any n th root.

So, it becomes,

$\frac{2}{3}\times \sqrt{18}\\\\=\frac{2}{3}\times 3\sqrt{2}\\\\=2\sqrt{2}\\\\=2^{\frac{1}{2}+1}\\\\=2^\frac{3}{2}$

Hence, $2^\frac{3}{2}$ is a pure surd.