How do you simplify sqrt(63w^36)?

1 Answer
Jul 15, 2017

3sqrt(7)*w^18=3w^18sqrt(7)

Explanation:

sqrt(63w^36)=sqrt(63)*sqrt(w^36)

sqrt(w^36)=(w^36)^(1/2)=w^(36/2)=w^18

sqrt(63)=sqrt(a*b), where a nd b are factors of 63, and one is a perfect square number.

Two factors of 63 are 9 and 7.

sqrt(63)=sqrt(9*7)=sqrt(9)*sqrt(7)=3sqrt(7).

As sqrt(63w^36)=sqrt(63)*sqrt(w^36), and we calculated thise vakues, it is just 3w^18sqrt(7)