Question

Exapress 2÷3×√18 as a pure surd

Answer 1

Answer:

2√2 is the pure surd value of $\frac{2}{3} \times \sqrt{18}$

Step-by-step explanation:

In any surd if the “rational factor” is absent then it is termed as “pure surd” or “complete surd”.

Similarly if the surd possesses a “rational factor” then it will be termed as “mixed surd”.

To convert $\frac{2}{3} \times \sqrt{18}$ into pure surd we raise it to the power of 2 i.e. we square the number $\frac{2}{3} \times \sqrt{18}$ and cover the solution in square root.

$\sqrt{\left(\frac{2}{3} \times \sqrt{18}\right)^{2}}=\sqrt{\left(\frac{4}{9} \times 18\right)}=\sqrt{(4 \times 2)}=\sqrt{8}$

Hence “the pure surd” of  $\bold{\frac{2}{3} \times \sqrt{18}}$ is equal to 2√2 .

Answer 2

Answer:

√8

that is answer of this question