How do you simplify $sqrt(50a^3b^5)$ ?

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Answer 1 · 2017-01-05T16:59:00

$5ab²sqrt(2ab)$

$sqrt(50a^3b^5)$

Factorise the terms within the square root.

$sqrt(5xx5xx2*axxaxxa*bxxbxxbxxbxxb)$

Group the pairs.

$sqrt(5xx5*axxa*bxxb*bxxb*2*a*b)$

Simplify by removing the pairs.

$5ab²sqrt(2ab)$

Note that this has been solved with the condition that $a, b >=0$ .

How do you simplify sqrt(50a^3b^5)sqrt(50a^3b^5)?