11.1 Simplifying Radical Expressions Definitions 2 Simplifying Radicals 3 Practice Problems

Definitions

Perfect Squares

How a Square Root Works

Simplifying Square Roots Steps Factor the radicand into the product of the largest factor that is a perfect square Separate the square root into 2 separate square roots Solve the perfect square Check to make sure you can’t factor the radicand by another perfect square

Simplifying a Square Root Example

Multiplying Square Roots Steps Multiply the real numbers & leave outside the square root Multiply the radicands to each other & leave inside the square root Simplify the square root if possible

Multiplying a Square Root Example

Multiplying a Square Root Example

Simplifying a Square Root with Variables Steps Rewrite the variable as a square using the exponent rules Squares (2nd power) will cancel with square roots

Square Root Variable Example

Putting It All Together

Putting It All Together (Cont.)

Practice Problems Page 589-590 Problems 4-8, 14-25 NO WORK = NO CREDIT