multiply and simplify factoring
square root 20 * square root 135. Thank you
sqrt(20) * sqrt(135)
That can be simplified into sqrt(20*135)
Now, factor out the contents of the square roots:
20 = 4*5
135 = 9*15 = 9*3*5
So, you have
sqrt(4*5*9*3*5)
Several of those factors can be pulled out because they are perfect squares: 4, 5*5, and 9
sqrt(4) = 2, sqrt(5*5) = 5, and sqrt(9) = 3
Now, you have 2*5*3*sqrt(3) by pulling out those factors.
That simplifies to 30*sqrt(3)