How may square roots does it to take to get a square root of the square root?

Question

asked May 2, 2019 29.3k views

1 Answer

Dimay · Answer 1 · 2019-05-08T19:10:28+0000

If you want to take a square root of a square root you will need 2 squares roots,

For example, i want the square root of the square root of 16.

I'll take it first: √16 = 4 and again, √4 = 2

So, the square root of the square root of 16 is 2.

But you can also make a root with index 4.

$\sqrt[4]{16}=2$

Because if you do 2.2.2.2 you will take 16.