Question

Evalute the
$\sqrt{144 \times \sqrt[3]{64} }$

​

Answer 1

Answer:

To find value of given expression firstly

As we know that,

64 = 2×2×2×2×2×2.

[ we find it because after finding it it will be easier to find the cube root of 64].

So,

Value of given expression can be calculated as:-)

$\sqrt{144 \times \sqrt[3]{64} } \\ = \sqrt{144 \times \sqrt[3]{2 \times 2 \times 2 \times 2 \times 2 \times 2} } \\ = \sqrt{144 \times 2 \times 2} \\ = \sqrt{144 \times 4} \\ = \sqrt{576} \\ = \sqrt{24 \times 24} \\= 24$

After all we get that value of an expression is 24.