Algebra 1 Part 2
Review on Radicals
Evaluate each expression.
2. −√1
1. √16
3. ±√144
4. √𝑏2 − 4𝑎𝑐 when a = 3, b = 7, c = 2
5. √𝑏2 − 4𝑎𝑐 when a = 3, b = -5, c = -2
Solve the equation by finding square roots.
6. 𝑥 2 = −81
7. 5𝑥 2 = 245
Simplify the expression.
8. √𝟒𝟖
𝟏𝟎
11. √𝟑𝟐
9. 𝟑√𝟏𝟐
𝟐𝟓
12. −√ 𝟑
𝟏𝟐
10. √𝟒𝟖
13.
𝟏
√𝟑𝟐
𝟐
14. Evaluate the expression. Round to the nearest hundredth.
7±3√12
−1
Use the quadratic formula to solve the equation in #15 & 16.
15. 𝑥 2 + 𝑥 = 20
16. 𝑥 2 − 5𝑥 = −3
a)
Simplest radical form
b) Round to the nearest hundredth.
What value of x makes each expression true?
17. 3√5 = √15𝑥
18. 4√6 = 2√24𝑥
c) Round to the nearest tenth.
Algebra 1 Part 2
Review on Radicals
19. Find the area of a square with a side length of 4√3 in.
20. Find the area of the rectangle. Simplify the answer in simplest radical form.
2√5
√12