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
