how do you multiply sqrt fractions?

Question

if i had a problem like sqrt1/2 X sqrt8 would i multiply 1X8 and 2X1 to get 8/2 or 4? is the answer 2sqrt2?

Answer 1

You're on the right track: Take the sqrt of each numerator and denominator. Then multiply the numerators: sqrt(1)*sqrt(8) = sqrt(8) = 2*sqrt(2). Multiply the denominators: sqrt(2)*sqrt(1)=sqrt(2). Now you have 2*sqrt(2)/sqrt(2). The sqrt(2) terms cancel out and your answer is 2.

Answer 2

make it so that it is sqrt1/2 x sqrt8/1 and then cross multiply

Answer 3

root(1/2) x root(8) = root(1/2) x 2(root2) = 2