Practice - Simplify

Practice Problem #13

Complete the following problems.

Multiply the outside coefficients and the numbers within the radicand.

Answer: -30, 28, 7, 4

Factor the terms under the radical sign.

Answer: 4, 6, 4

Remove the perfect squares.

Answer: 2, 3, 2, 7x

Multiply the outside terms to get your final answer.

Answer: -60, 3, 2

Practice Problem #15

Start by reducing the numerator and denominator.

Answer: 12, 3, 5

Now, we no longer have a denominator. Factor out the perfect squares.

Answer: 4, 2, 4

Remove the perfect squares to simplify.

Answer: 2x, 2, 3xy

Practice Problem #16

Reduce the numerator and denominator. They have a common factor of 3xy.

Answer: 2, 2

Simplify the square roots in the numerator and denominator.

Answer: x, y√2

Rationalize the denominator.

Answer: 2, 2

Multiply and simplify.

Answer: 2, 2y

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