How do you simplify $sqrt(125a^3)$ ?

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Answer 1 · 2016-06-23T06:42:22

Factor it out.

Break down the expression into its factors:

$sqrt(125a^3)=sqrt(5*5*5*a*a*a)$

Notice that we have a pair of $5$ 's and $a$ 's.

$sqrt(5*5*5*a*a*a)=sqrt(5*(5*5)•a*(a*a)) =sqrt(5*(5)^2*a*(a^2))$

We can take these (the pairs) out of the expression.

$sqrt(5*(5)^2*a*(a^2)) =5*a*sqrt(5*a)$

Finally,

$5*a*sqrt(5*a)=5a sqrt(5a)$

$sqrt(125a^3)=5a sqrt(5a)$

Hope this helps!

How do you simplify sqrt(125a^3)sqrt(125a^3)?