Simplifying a Radical

Question

How do you simplify -/45?

Answer 1

45 = 3 x 3 x 5

 

Sqrt(3 x3 x5) = 3 x sqrt(5)

 

 

CHECK:  [3 x sqrt(5) ]^2 = 3^2 * sqrt(5)^2 = 9 x 5 = 45

 

So the square root of 45 is 3 x sqrt(5)