Happy Monday Have homework out and be ready

Happy Monday *Have homework out and be ready to grade On the next page of your notebook: Date: 1/16/17 Title: Simplifying Radicals Objective: Simplify Radicals

3 Rules for simplifying radicals: Square Roots and Radicals No perfect squares in radicands No fractions inside radicals No radicals in denominators of fractions

Perfect Squares 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, 169, 196, 225, 256, 289, 324, 361, 400

*When simplifying radicals, we leave it in radical form. DO NOT change to a decimal.

Vocab Radicands- the “stuff” inside the radical Radicals- the square root/cube root sign

LEAVE IN RADICAL FORM Perfect Square Factor * Other Factor = = = = =

Rule #2: No fractions inside radicals = = = There is a radical in the numerator but there’s no fraction INSIDE the radical.

Rule #2: No fractions inside radicals = = = There is a radical in the numerator but there’s no fraction INSIDE the radical.

Square Roots and Radicals • No radicals in denominators of fractions. • Ex: • = =1 = How do you multiply fractions? = = =

Square Roots and Radicals • No radicals in denominators of fractions. • Ex: • = =1 = How do you multiply fractions? = = =

Square Roots and Radicals • No radicals in denominators of fractions. • Ex: • = =1 = How do you multiply fractions? = = =

Square Roots and Radicals • No radicals in denominators of fractions. • Ex: • = =1 = How do you multiply fractions? = = =

Square Roots and Radicals • Simplifying radicals: • = = • = = = 4

Simplify these radicals: Square Roots and Radicals

Practice

Reverse the process (un-simplify the simplified radical form )