square root

Question

square root 1/2 times square root of square root of 1/2 times square root of square root of square root of 1/2
like this :

 

√1/2 * √√1/2 * √√√1/2
how to remove the square root. and how to get the answer

Answer 1

Hi Vishnu,

Convert each factor to exponential form.

(1/2)^(1/2) * (1/2)^(1/4) * (1/2)^(1/8)

Then add exponents to get (1/2)^(7/8) = 0.54525