Evaluate :
$\sqrt[3]{\frac{27}{64}}$

Open in App

Solution

$\sqrt[3]{\frac{27}{64}} = \frac{\sqrt[3]{27}}{\sqrt[3]{64}}$ = $\frac{\sqrt[3]{3 \times 3 \times 3}}{\sqrt[3]{4 \times 4 \times 4}}$
= $\frac{\sqrt[3]{3^{3}}}{\sqrt[3]{4^{3}}} = \frac{3}{4}$

Suggest Corrections

Similar questions

\sqrt[3]{27 \times 64}

\frac{^{3} \sqrt{- 125 \times 343}}{^{3} \sqrt{(- 27)} \times (- 64)}

(i) 2 \times 27^{\frac{1}{3}} \times 216^{- \frac{2}{3}}

(i i) 64^{- \frac{1}{3}} (64^{\frac{1}{3}} - 64^{- \frac{2}{3}})

{⎡ ⎢ ⎣ 7 (64^{\frac{1}{3}} + 27^{\frac{1}{3}})^{3} ⎤ ⎥ ⎦}^{\frac{1}{4}}

Evaluate : ( 8a³ - 27b³ ) / ( 64x³ + y³ ) , where ( 64x³ + y³ ) ≠ 0

Join BYJU'S Learning Program