Which expression is equivalent to √(15) * √(12)

Question

Which expression is equivalent to
`√(15) * √(12)`

Answer 1

Consider that √15 and √12 can be written as follow:

√15 = √(3*5)

√12 = √(3*4)

Moreover, √15*√12 = √(15*12). Then, you can write:

√(15*12) = √(3*5*3*4) = √(3^2*2^2*5) = 3*2√5 = 6√5

Hence, the equivalent expression is 6√5