SOLUTION: Please help me add the following square roots together. sqrt12x^5 + sqrt300x^5 -2xsqrt48x^3

Question 187924: Please help me add the following square roots together.
sqrt12x^5 + sqrt300x^5 -2xsqrt48x^3
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
You need to factor each of these terms and then factor out any common factor.
Let's take each term, one-by-one, and see how that's done.
this can be written as:
Notice that 4 and are perfect squares so you can take their square roots and move them outside of the radical sign.

Similarly for the second term:
Factor 300 into and and again, you have some perfect squares and so take their square roots and move them outside of the radical sign.

and for the last term:
you have = and , so...
=
Now let's put it all together:
Factor the common factor to get:
Now add up the terms and you get:

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