Question

Question 135

Evaluate: $\sqrt[3]{327}+\sqrt[3]{30.008}+\sqrt[3]{30.064}$

Answer 1

We have, $\sqrt[3]{327}+\sqrt[3]{30.008}+\sqrt[3]{30.064}$
$=(27{)}^{\frac{1}{3}}+(0.008{)}^{\frac{1}{3}}+(0.064{)}^{\frac{1}{3}}=(3\times 3\times 3{)}^{\frac{1}{3}}+(0.2\times 0.2\times 0.2{)}^{\frac{1}{3}}+(0.4\times 0.4\times 0.4{)}^{\frac{1}{3}}=(3{)}^{3\times \frac{1}{3}}+(0.2{)}^{3\times \frac{1}{3}}+(0.4{)}^{3\times \frac{1}{3}}=3+0.2+0.4=3.6$