What is the square root of the square root of the square root of 100, in radical form?

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It is the fourth root of 10 -- square root of square root of square root of 100 is the square root of the square root of 10. Assign this value to x and square both sides -- then x^2=sqrt(10); squaring again yields x^4=10 or x=the fourth root of 10.

The answer is 1.77827941 so about 1.8

- The ans is square root 3.16227766 .
- In simple form =1.77

square root of 100 is 10

there are 2 more square roots ,so we can write it as (10^1/2)^1/2

that is 10 1/2*1/2=10^1/4

=4th root of 10

The answer is approx 1.77

The radical would have a fourth index

I prefer to use exponents.

100^0.25

=1.414

square root of 100=10

square root of 10=10 raised to the power of 0.5=10^1/2

square root of square root of 10=(10^1/2)^1/2

this is the same as 10^(1/2)x(1/2)

1/2 multiplied by 1/2=1/4

hence square root of square root of square root of 100=10^1/4

the pleasure was all mine.

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