3.8 – 3.9 Homework
Name: ______________________________
Simplify each of the following radical expressions – NO DECIMALS:
1. √27
2. −√45
3. 4√80
4. 3√−32
5.
6.
7.
8. √−17
√−15
√−4
−2√8
First, (1) find the value of the discriminant for each of the quadratic functions. Then, (2) determine
the number and type of roots. Lastly, (3) find the solutions to the quadratic equation.
9. 𝑥 2 + 4𝑥 − 24 = 0
10.
3𝑥 2 − 5𝑥 + 9 = 0
11. 2𝑥 2 + 3𝑥 − 5 = 0
1. Discriminant: _________
2. # of Roots: __________
Real or Imaginary?
1. Discriminant: _________
2. # of Roots: __________
Real or Imaginary?
1. Discriminant: _________
2. # of Roots: __________
Real or Imaginary?
3. Solution: ____________
3. Solution: ____________
3. Solution: ____________
12. 𝑥 2 − 3𝑥 = 0
1. Discriminant: _________
2. # of Roots: __________
Real or Imaginary?
3. Solution: ____________
13.
2𝑥 2 + 6𝑥 + 5 = 0
14. 2𝑥 2 + 12 = 0
1. Discriminant: _________
2. # of Roots: __________
Real or Imaginary?
1. Discriminant: _________
2. # of Roots: __________
Real or Imaginary?
3. Solution: ____________
3. Solution: ____________
Simplify each radical expression below – NO DECIMALS!
1. 3 + √2 − 7 + 3√2
2. √5 − 9 + 8√5 + 11 − √5
3. √12 + √48
4. √8 − √18 + √32
5. 11√7 − 5√49
6. 7√45 + 5√3 − 3√7 + √27
7. −2√3 + 3√27
8. −3√32 + 5√20 − 3√8
9. 2√18 − 2√12 − 2√48