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

1 Answer
Sep 17, 2016

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)