Question

Can someone explain to me how to remove all the perfect squares ? I’m kind of confused and my teacher is unavailable to help and my work is already past due :/

Answer 1

b^2√30b

Explanation:

√30b^5 - Original

Break down the radical with its factors (factor tree)

√3*2*5*b*b*b*b*b

See what perfect squares you can take out (Can take out four b terms) You cant take out any perfect squares involving 30 since there are no perfect squares

b^2√3*2*5*b

b^2√30b