How do you simplify $\sqrt{363 b^{3} c}$ $sqrt(363b^3c)$ ?

Question

1197 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-09-17T16:28:19

$11 b \sqrt{3 b c}$ $11bsqrt(3bc)$

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

$\sqrt{363 b^{3} c} = \sqrt{3 \times 11 \times 11 b^{3} c}$ $sqrt(363b^3c) = sqrt(3xx11xx11b^3c)$

Identify any squares: = $\sqrt{3 \times 11^{2} \times b^{2} \times b \times c}$ $sqrt(3xx11^2 xx b^2 xx b xxc)$

Find square roots where possible.

= $11 b \sqrt{3 b c}$ $11bsqrt(3bc)$

How do you simplify sqrt(363b^3c)√363b3csqrt(363b^3c)?