How do you simplify #sqrt(33a^11b^11) times sqrt(3)#?

1 Answer
Jul 31, 2016

Answer:

#3a^5b^5sqrt(11ab)#

Explanation:

The two roots can be combined into a single root because they are being multiplied. Write the numbers as the product of the prime factors.

#sqrt(3 xx 3 xx11 a^11b^11)#

Factors with even powers are squares and have a square root.

=#sqrt(3^2 xx 11 xx a^10 b^10 ab) #

=#3a^5b^5sqrt(11ab)#