How do you simplify #5 sqrt5 times 3 sqrt3#?

1 Answer
marfre
Feb 15, 2017

#15sqrt(15)#

Explanation:

Each of the numbers in the problem are being multiplied. The order of items multiplied can be rearranged as follows:

#5sqrt(5) # # 3sqrt(3) = 5(3) sqrt(5) sqrt(3) = 15 sqrt(5) sqrt(3)#

Radicals can be combined if they are the same type (e.g. both square roots): #15 sqrt(5 (3)) = 15sqrt(15) #

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