The correct option is C 36√(2) =3× ( 2^5 )^1/3× 3× ( 2^2 )^1/3 =3× 3× 2^5/3× 2^2/3 =3× 3× 2^5/3+2/3 =3× 3× 2^7/3 =3× 3×2^6/3×2^1/ ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Deducing Formula for (x-y)^2

Simplify 3....

Question

Simplify $3. \sqrt[3]{32} \times 3. \sqrt[3]{4}$

9 \sqrt[3]{2}

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

32 \sqrt[3]{2}

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

36 \sqrt[3]{2}

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

18 \sqrt[3]{2}

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

Open in App

Solution

The correct option is C $36 \sqrt[3]{2}$
$= 3 \times {(2^{5})}^{\frac{1}{3}} \times 3 \times {(2^{2})}^{\frac{1}{3}}$
$= 3 \times 3 \times 2^{\frac{5}{3}} \times 2^{\frac{2}{3}}$
$= 3 \times 3 \times 2^{\frac{5}{3} + \frac{2}{3}}$
$= 3 \times 3 \times 2^{\frac{7}{3}}$
$= 3 \times 3 \times 2^{\frac{6}{3}} \times 2^{\frac{1}{3}}$
$= 3 \times 3 \times 2^{2} \times 2^{\frac{1}{3}}$
$= 36 \times 2^{\frac{1}{3}}$
$= 36 \sqrt[3]{2}$

Suggest Corrections

Similar questions

(3 \sqrt{2} + 2 \sqrt{3}) (2 \sqrt{3} - 4 \sqrt{2})

\frac{4 + \sqrt{5}}{4 - \sqrt{5}} + \frac{4 - \sqrt{5}}{4 + \sqrt{5}}

\frac{1}{\sqrt{3} + \sqrt{2}} - \frac{2}{\sqrt{5} - \sqrt{3}} - \frac{3}{\sqrt{2} - \sqrt{5}}

\frac{2 + \sqrt{3}}{2 - \sqrt{3}} + \frac{2 - \sqrt{3}}{2 + \sqrt{3}} + \frac{\sqrt{3} - 1}{\sqrt{3} + 1}

\frac{2 \sqrt{6}}{\sqrt{2} + \sqrt{3}} + \frac{6 \sqrt{2}}{\sqrt{6} + \sqrt{3}} - \frac{8 \sqrt{3}}{\sqrt{6} + \sqrt{2}}

\frac{2^{3} {.3}^{4} . 4}{3 .32}

{[{(\frac{2}{3})}^{2}]}^{3} \times {(\frac{2}{3})}^{- 4} \times 3^{- 1} \times \frac{1}{6}

[{(\frac{1}{2})}^{- 3} + {(\frac{1}{3})}^{- 3} + {(\frac{1}{4})}^{- 3}] \div {(3)}^{2}

Join BYJU'S Learning Program