How do you simplify $sqrt45divsqrt5$ ?

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Answer 1 · 2015-09-14T06:03:11

$=color(blue)(3$

Prime factorising $45$ to simplify $sqrt45$

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

The expression can now be written as:

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

$=color(blue)(3$

How do you simplify sqrt45divsqrt5sqrt45divsqrt5?