How do you simplify sqrt45divsqrt5?

Sep 14, 2015

=color(blue)(3

Explanation:

Prime factorising $45$ to simplify $\sqrt{45}$

sqrt45 = sqrt(3^2*5) = color(blue)(3sqrt5

The expression can now be written as:

sqrt45/sqrt5 = color(blue)((3cancelsqrt5)/cancelsqrt5

=color(blue)(3