Question

The product $\sqrt[3]{32}.\sqrt[4]{42}.\sqrt[12]{1232}$ equals.

• A. $\sqrt{2}$
• B. $2$
• C. $\sqrt[12]{122}$
• D. $\sqrt[12]{1232}$

Answer 1

The correct option is B $2$

$\sqrt[3]{32}\times \sqrt[4]{42}\times \sqrt[12]{1232}$
= $2^{\frac{1}{3}}\times 2^{\frac{1}{4}}\times \sqrt[12]{122^5}$
= $2^{\frac{1}{3}}\times 2^{\frac{1}{4}}\times 2^{\frac{5}{12}}$
= $2^{\frac{1}{3}+\frac{1}{4}+\frac{5}{12}}$
= $2^{\frac{12}{12}}$
= $2$
Hence, option $B$ is the correct answer.