Question

Find the value of $\sqrt[4]{4624}$ till the four places of decimal.

• A. 4.9927
• B. 4.8854
• C. 4.9979
• D. 4.8864

Answer 1

The correct option is C 4.9979

Given: ${\sqrt{624}}^{\frac{1}{4}}$
$={\sqrt{625-1}}^{\frac{1}{4}}$
$=5(1-\frac{1}{5^4}{)}^{\frac{1}{4}}$
$=5(1-\frac{1}{4\times 625})$
$=5-\frac{1}{4\times 125}$
$=5-\frac{1}{500}$
$=5-0.002$
$=4.998$