Question

How do you simplify `sqrt(135b^2c^3d) • sqrt(5b^2d)`?

Answer 1

`15b^2cdsqrt(3c)`

Explanation:

`sqrt(135b^2c^3d) * sqrt(5b^2d)=sqrt(5*5c^2d^2b^4*27c)`
`=5*b^2cd*sqrt(27c)=5*b^2cd*sqrt(3*3*3c)=15b^2cdsqrt(3c)`