SOLUTION: multiply and simplify sqroot 12a^2b multiply sqroot15ab^2

Question 275568: multiply and simplify
sqroot 12a^2b multiply sqroot15ab^2
Answer by jsmallt9(3758) (Show Source): You can put this solution on YOUR website!

One of the properties of radicals is:
We will ue this property in both "directions". We will start by using it to multiply the two square roots into one:

Simplifying the radicand (the expression inside a radical) we get:

The last stage is to simplify the square root. This involves finding factors of the radicand that are perfect squares:

Now we will use the property in the other direction to separate the factors into their own square roots:

Simplifying the square roots of the perfect squares we get:

And finally we'll use the Commutative Property of Multiplication to rearrange the factors and our property of radcials to re-combine all the remaining square roots:

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