Radical Expressions

Operations with Radical Expressions

  • PH 10-3
    • Simplifying sums and differences
    • Simplifying products and quotients
    • Rationalizing a denominator using conjugates
    • Ex 1-6
    • Assignment: P. 503 (1-9 all, 11-33 odd, 34-36 all, 38-47 all)

Simplify each radical expression

\frac{\sqrt{48}}{\sqrt{8}}

 

\sqrt{16a^{2}}\bullet\sqrt{5a^{3}}

 

\frac{2\sqrt{3}-\sqrt{6}}{5\sqrt{3}+2\sqrt{6}}

 

\frac{7}{\sqrt{2}-\sqrt{7}}

Solving Radical Expressions

  •  PH 10-4
    • Solving radical expressions
    • Radicals on both sides
    • Extraneous solutions
    • No solution
    • Assignment:

Solve each radical expression. Check your solutions. If there is no solution, write, no solution.

\sqrt{3x+13}=\sqrt{7x-3}

 

 

\sqrt{x-4}+3=9

 

Graphing Square Root Functions

  • PH 10-5
    • Graphing Square Root Functions
    • Domain and Range
    • Assignment:

Find the domain and range of each function:

y=\sqrt{x-7}

n=90\sqrt{3t}+ 400

y=\sqrt{2x+2}

y=\sqrt{x-2}+ 4