SOLUTION: -4 times the square root of 45 over the square root of 144

Question 268666: -4 times the square root of 45 over the square root of 144
Answer by persian52(161) (Show Source): You can put this solution on YOUR website!
Here you go my friend!
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√ = Square root symbol
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-4*√((((45)/(√(144)))))
Pull all perfect square roots out from under the radical. In this case, remove the 12 because it is a perfect square.
-4*√(((45)/(12)))

Reduce the expression (45)/(12) by removing a factor of 3 from the numerator and denominator.
-4*√(((15)/(4)))

Remove the parentheses around the expression (15)/(4).
-4*√((15)/(4))

Multiply -4 by √((15)/(4)) to get -4√((15)/(4)).
-4√((15)/(4))

Split the fraction inside the radical into a separate radical expression in the numerator and the denominator. A fraction of roots is equivalent to a root of the fraction.
-(4√(15))/(√(4))

Pull all perfect square roots out from under the radical. In this case, remove the 2 because it is a perfect square.
-(4√(15))/(2)

Reduce the expression -(4~(15))/(2) by removing a factor of 2 from the numerator and denominator.
-2√(15)
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