Question

Express 2/3. Root 18 as a pure surd

Answer 1

root 12
............................

Answer 2

Answer:

$\frac{2}{3}\times \sqrt{18}=\sqrt{8}$

Step-by-step explanation:

Given : Expression $\frac{2}{3}\times \sqrt{18}$

To find : Express the expression in pure surd?

Solution :

A surd in which the whole of the rational number is under the radical sign and makes the radicand, is called pure surd.

Now, we convert the given expression in pure surd by raising it to the power of 2.

$=\sqrt{\left(\frac{2}{3} \times \sqrt{18}$

$=\sqrt{\left(\frac{4}{9} \times 18\right)}$

$=\sqrt{(4 \times 2)}$

$=\sqrt{8}$

Therefore, As a pure surd expression is $\frac{2}{3}\times \sqrt{18}=\sqrt{8}$