Question

1. Evaluate:
$\sqrt[3]{288 \sqrt[3]{72 \sqrt[3]{27} } }$
​

Answer 1

$\boxed{\sqrt[3]{288\sqrt[3]{72\sqrt[3]{27}}}=12}$

Explanation:

Now, $\sqrt[3]{288\sqrt[3]{72\sqrt[3]{27}}}$

$=\sqrt[3]{288\sqrt[3]{72\sqrt[3]{3\times 3\times 3}}}$

$=\sqrt[3]{288\sqrt[3]{72\times 3}}$

$=\sqrt[3]{288\sqrt[3]{2\times 2\times 2\times 3\times 3\times 3}}$

$=\sqrt[3]{288\times 2\times 3}$

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

$=2\times 2\times 3$

$=12$

Remember:

$\sqrt[3]{a\times a\times a}=a$

Answer 2

Answer:

here is the answer. hope it helps