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solmaris [256]
2 years ago
9

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

Mathematics
2 answers:
AlekseyPX2 years ago
6 0

<u>Explanation:</u>

  • 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).

<u>Solution:</u>

  • => \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.

LuckyWell [14K]2 years ago
4 0

Answer:

4

Step-by-step explanation:

16x16=256

(256/16)/16=4

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