Question

Simplifying Square Roots of 3square135

Can somebody help me with this, I want to learn how it goes.
Thanks

Answer 1

Answer:
3√135 = 9√15

Step-by-step explanation:
135 = 5*3*9
Therefore:
sqrt(135) = sqrt(5*3*9) = sqrt(5) * sqrt(3) * sqrt(9)
Now, sqrt(9) = 3, this means that:
sqrt(135) = 3*sqrt(3)*sqrt(5) = 3√15

Now, for the given:
3√135 = 3 * 3√15 = 9√15

Hope this helps :)