Radical Functions & Roots (Algebra 2 HN)

This is a Radical Functions and Roots review problem set. These questions are coming directly from an algebra 2 quiz, so use it wisely! I really hope this is useful!

1) Factor -54

2) Factor b^31

3) Combine

1) Multiply terms inside and outside the radical

2) Factor x^4 & y^10

3) Factor 56

4) Combine

1) Multiply the denominator with the numerator

2) Factor 576

3) Combine

1) Simplify inside the radical

2) Factor the cube root of 8x^3

3) Combine.

1) Factor x^20.

*EEO Rule = 1) degree of radical is even

2) degree/exponent of variable is even

3) factor is odd

--> then include absolute value.

2) Factor y^5

3) Factor z^12

*EEO Rule

4) Combine

1) Factor √m⁴²

2) Combine

1) Simplify within radicals.

2) Factor the cube root of 16.

3) Multiply the cube root of y to both the numerator and denominator.

4) Combine.

1) Factor ∜x¹⁰

2) Factor ∜y⁷

3) Factor ∜z⁴

*EEO Rule

4) Factor ∜162

5) Combine