Question

The approximate value of $\sqrt[3]{328}$ is

• A. $3.0037$
• B. $3.037$
• C. $3.0086$
• D. $3.37$

Answer 1

Answer: (B)

$3.037$

Let $y=\sqrt[3]{328}$
Taking log on both sides, we get
$log$ $y=\frac{1}{3}log$ $28$
$=\frac{1}{3}\times 1.4472$
$=0.4824$
$y=antilog\left(0.4824\right)$
$=3.037$(approximately)