kimberlyma
Answered

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

I need it quick! Thanks :)

Sagot :

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 [tex]\sqrt[4]{x}[/tex] (Where x is the number).

Solution:

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

Hence, [tex]\sqrt{\sqrt{256}}$[/tex] is 4.

Answer:

4

Step-by-step explanation:

16x16=256

(256/16)/16=4

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