Question

Compute $\sqrt{\sqrt{256}}$.

I need it quick! Thanks :)

Answer 1

4

Step-by-step explanation:

16x16=256

(256/16)/16=4

Answer 2

Step-by-step 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{√(256)}$ = \sqrt[4]{256}`
• =>
  `\sqrt[4]{256} = \sqrt[4]{(4)(4)(4)(4)}`
• =>
  `\sqrt[4]{(4)(4)(4)(4)} = 4`

Hence,
`\sqrt{√(256)}$` is 4.