SOLUTION: This is from a worksheet. I have 2 questions that i'm not sure on. Direction say simplify. Assume that no denominator equals 0. 1. sq. root 16x^2y^4 2. sq root 12-sq root 18

Question 162013: This is from a worksheet. I have 2 questions that i'm not sure on.
Direction say simplify. Assume that no denominator equals 0.
1. sq. root 16x^2y^4
2. sq root 12-sq root 18+3sq root 50+sq root 75.
Sorry i don't have a sq. root sign on my computer
Please. help
Thanks

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
1)

For these type of problems, it is crucial to remember that where (ie it's not negative)

Start with the given expression

Rewrite as

Rewrite as

Break up the square root.

Use the formula above to simplify each square root. So in this case , , and

So every variable is nonnegative

2)

Start with the given expression

Now we must factor each number in the square roots into two number where one MUST be a perfect square.

Factor into . Factor into . Factor into . Factor into .

Break p the square roots

Rewrite as . Rewrite as . Rewrite as

Take the square root of the perfect squares to simplify the square roots. So , , and

Multiply

Group the common terms.

Combine the common terms.

So
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