Identify the perfect square in each set , 81, 27, , 99, 8, , 84, 12, , 216, 196, 72 Find the Prime Factorization of each number ALGEBRA O.T.Q.

10.2 Simplifying

What will I be able to do? Simplify radical expressions using the Product and Quotient Property of Square Roots

When simplifying a radical expression, find the factors that are to the nth powers of the radicand and then use the Product Property of Radicals. What is the Product Property of Radicals???

Product Property of Radicals For any positive real numbers a and b, the square root of ab is equal to the square root of a times the square root of b =

Factor into squares Product Property of Radicals 144 = 12² =

Product Property of Radicals Factor into cubes if possible Product Property of Radicals

Now, you try these examples. 2.

Quotient Property of Radicals 0,0, For real numbers a and b, b the square root of is equal to the square root of a divided by the square root of b =

Simplify the expression. Rationalize the denominator

When there is a binomial with a radical in the denominator of a fraction, you find the conjugate and multiply.

Simplify:Multiply by the conjugate FOIL numerator and denominator Combine like terms

SUMMARY!

CLASSWORKHOMEWORK Pages 631 – 632 #’s 10 – 34 even, 38 – 44 even, 53(a) Pages 633 #’s 58, 59, 62, 73, 78