SOLUTION: Simplify {{{sqrt(12*x^3/5)}}}

Question 90667: Simplify
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

Break up the square roots using the identity

Now lets simplify the numerator

Start with the given expression
Factor into

Factor into

Break up the square roots using the identity

Take the square root of the perfect square to get 2

Take the square root of the perfect square to get x

Multiply the common terms
Rearrange the terms
Group the square root terms

So becomes

Now to rationalize the denominator, multiply the expression by

Multiply

Take the square root of 25 to get 5

So simplifies to
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