Question

Compute $\sqrt{\sqrt{256}}$. I need it quick! Thanks :)

Answer 1

Explanation:

• To obtain a whole number from square roots, the number inside the root must be a perfect square.

• If you are finding a number's cube root, it means that a number must be multiplied 3 times to obtain that number.

• It is the same with $\sqrt[4]{x}$ (Where x is the number).

Solution:

• => $\sqrt{\sqrt{256}} = \sqrt[4]{256}$
• => $\sqrt[4]{256} = \sqrt[4]{(4)(4)(4)(4)}$
• => $\sqrt[4]{(4)(4)(4)(4)} = 4$

Hence, $\sqrt{\sqrt{256}}$ is 4.

Answer 2

Answer:

4

Step-by-step explanation:

16x16=256

(256/16)/16=4