Question

³√√64 simplify this please ​

Answer 1

8^1/3

=2

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Answer 2

Answer:

$\sqrt[3]{ \sqrt{64} } = 2$

2 is the answer we get on Simplifying.

Step-by-step explanation:

We have to find the cube root of square root of 64.

1) Step 1: Find the Square root of 64

$\sqrt{64} = 8$

We know that the square of 8 is 64 so the square root of 64 is 8. Note in square roots always positive number is taken i.e. 8 and -8 both have 64 as there square but the square root of 64 is only +8.

2) Step 2: Find cube root of 8

$\sqrt[3]{8} = 2$

As 2×2×2 = 8 i.e.

${2}^{3} = 8$

applying cube root on both the sides

$\sqrt[3]{ {2}^{3} } = \sqrt[3]{8}$

$\sqrt[3]{8} = {2}^{ 3 \times \frac{1}{3} }$

$\sqrt[3]{8} = {2}^{1} = 2$

Therefore cube root of 8 is 2.

Therefore the final answer comes to be 2.

The cube root of square root of 64 is 2.

$\sqrt[3]{ \sqrt{64} } = 2$