# Homework 1

Due Tuesday, September 12:

The following problems must be turned in:

1. Solve for x and check: $\sqrt{x+1} = \sqrt{2x} + 1$.
2. Rationalize the denominators and simplify: $\frac{3}{\sqrt{5}} - \frac{5}{\sqrt{3}}$.
3. Simplify: $\sqrt{48} + 5\sqrt{3}$.
4. Simplify: $-(16x^6y^{-8})^{1/4}$.
5. Simplify: $\sqrt[3]{8x^3y^4}$.
6. Re-write using rational exponents: $3\sqrt[3]{x^2y^4}$.
7. Re-write using radicals: $3x^{1/2}y^{2/3}$.

The following problems are suggested exercises and should not be turned in:

Section 7.1 (page 560) #1-4, 7-12, 29-36, 93, 94, 124

Section 7.2 (page 573) #1-4, 21-28, 41-44, 51-60

Section 7.3 (page 584) #11-16, 19-22, 44-48, 53-58, 67-70, 73-82

Section 7.4 (page 593) #1-6, 14-17, 35-44

Section 7.5 (page 603) #1-8, 33-36, 57-70, 75, 77-80, 85-88,