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.
