Simplify and express the result in its simplest form
$27 \sqrt[3]{18} \div 3 \sqrt[3]{9}$

4 \sqrt[3]{2}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

6 \sqrt[3]{2}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

9 \sqrt[3]{3}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

9 \sqrt[3]{2}

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Open in App

Solution

The correct option is C $9 \sqrt[3]{2}$
$27 \sqrt[3]{18} \div 3 \sqrt[3]{9}$

$= \sqrt[3]{\frac{27^{3} \times 18}{3^{3} \times 9}}$

$= \sqrt[3]{\frac{27^{3} \times 2}{3^{3}}}$

$= 27 \sqrt[3]{2} \div 3$

$= 9 \sqrt[3]{2}$

Suggest Corrections

Similar questions

\sqrt[3]{24} \div (\sqrt[4]{2} \cdot \sqrt[3]{3})

\sqrt[3]{4} \times \sqrt[3]{22}

\sqrt[4]{12} \times \sqrt[7]{6}

\sqrt[3]{32} \times \sqrt[3]{250}

\sqrt[5]{32} \times 2 \sqrt[3]{81}

(9^{4 / 3} \div 27^{2 / 3}) \times 3^{3 / 2}

(\frac{3}{11} \times \frac{2}{9}) + (\frac{- 6}{21} \div \frac{1}{- 42}) - (- 1 \frac{1}{3} \times \frac{9}{24}) - (\frac{- 2}{7} \times - 21)

\frac{2}{3} + 3 \frac{1}{6} + 4 \frac{2}{9} + 2 \frac{5}{18}

Join BYJU'S Learning Program