University:
Glendale Community College
Course:
MAT120 | Intermediate Algebra
Academic year:

2022
Views:

126

Pages:

2
Author:

helkoktcj

Section 4.3-4.6 Practice 1) Add or subtract: a) 6√2 + 5√3 6√2 + 5√3 b) 5√x - 3√x^3 5√x - 3x√x 2x√x 2) Multiply and simplify: √4x * √4x^7 √16x^8 2x^2 3) Simplify: a) 2√xy * 7√xy 14xy√xy b) √48x^2y^3 4√3xy^2 c) √40x^5 2x^2√10x 4) Make a table of values and sketch a graph (round to 2 decimals). State the domain and range of the function. a) f(x) = √(x-4) x | f(x) 3 | 1.76 4 | 0 5 | 1 6 | 1.26 Domain: (-∞, ∞) Range: [0, ∞) b) f(x) = √x - √2 x | f(x) 2 | Error 3 | 0 4 | 1.41 Domain: [2, ∞) Range: [0, ∞) 5) Simplify the expression. a) 16^(3/2) * 3^(-3/4) * 6^(-4) 64 * 1/3√3 * 1/1296 1/54√3 b) 25^(-3/2) 1/(25^3/2) 1/125 6) Write the expression using radical notation. a) (7x)^(1/4) ⁴√(7x) b) 7x^(1/4) 7⁴√x 7) Write the expression using rational exponents. a) 5√x 5x^(1/2) b) √8x 8^(1/2)x^(1/2) 2√(2x) 8) Evaluate the roots (ok to use a calculator). a) √1296 6 b) -√343 -7 9) Simplify the radical expression. (Assume all variables represent positive real numbers.) a) √(4u^2z^5)/√25 (2u√z^5)/5 b) √(125x^6y^9) 5x^3y^4√5y