Question

How do you simplify `sqrt45divsqrt5`?

Answer 1

`=color(blue)(3`

Explanation:

Prime factorising `45` to simplify `sqrt45`

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

The expression can now be written as:

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

`=color(blue)(3`