Question

How do you simplify `7root4(4a^3 b) * 3 sqrt(2a^2 b)`?

Answer 1

`42a^(7/4)*b^(3/4)`

Explanation:

We get

`21*4^(1/4)*a^(3/4)*b^(1/4)*2^(1/2)*(a^2)^(1/2)*b^(1/2)`
this
`21*2^(1/2)*2^(1/2)*a^(3/4)*a*b^(1/4)*b^(1/2)`
simplifying
`21*2*a^(7/4)*b^(3/4)`