How do you simplify #sqrt(363b^3c)#?

1 Answer
Sep 17, 2016

Answer:

#11bsqrt(3bc)#

Explanation:

Write 363 as the product of its prime factors first - then you will know what you are working with.

#sqrt(363b^3c) = sqrt(3xx11xx11b^3c)#

Identify any squares: = #sqrt(3xx11^2 xx b^2 xx b xxc)#

Find square roots where possible.

=#11bsqrt(3bc)#