How do I find the square root of a square root- the square root of the square root of fifty?

Question

I don't know how to find the square root of the square root of fifty. Can anyone tell me the answer and the process involved?

What is it in radical form? I don't know how to do that on my graphing or scientific calculators, and I can learn how later.

All I need is the radical form so I can use it to find side x in my honors geometry homework. Someone must be able to help me please?

Answer 1

The square root of a square root is the fourth root.

So the fourth root of 50. Use a calculator.

Its about 2.659

Answer 2

Taking a square root of 50 is the same as 50 to the 1/2 power: 50^(1/2). If there is two square roots, the 1/2 would change to 1/4, so all you have to do is take your calculator and put in 50^(1/4), or 50^0.25.

Answer: Approximately 2.66

Answer 3

Depends on what kind of calculator you have or if you have a calculator at all...
If you have a scientific calculator with a power key and/or a surd key you'd do 50^(1/4)
or 50 (x/y) 4 (surd key) (your milage may vary)
If you have only a basic calculator with a square root key you'd take the square root of 50 and then the square root of the result.
If you have no calculator you'd use log tables or root tables to figure it out.
If you don't have this either, you'd use the old fashioned hand algorthm for calculating square roots, then apply this algorithm again on the result.
http://jwilson.coe.uga.edu/EMT668/EMAT4680.folders/Nowlen/squareroot.html

Answer 4

Take 50 to the 1/4 power.

sqrt(sqrt(50))= sqrt ( sqrt(2*25)

sqrt (5* sqrt (2))=

sqrt(5) * sqrt (sqrt(2))