Warm Up Simplify 1) 𝑥 2 +3 𝑥 2 2) 𝑥 2 ∙ 𝑥 4 3) (2𝑥+3)(𝑥−4)

1-2 Simplifying Radicals 2 ∙ 2 = 2

Simplify: b) 100 16 d) 400 c) 225

Simplify Radicals 20 5 18 2 5 15 2

Operations with Radicals

To Add or Subtract Radicals, they must have SAME Radicand (the inside)

=9 5 1. 2 5 +7 5 = 9 2 2. 3 8 +3 2

To Multiply or Divide Radicals Outside times outside Radicand times Radicand

7 ∙ 3 = 21 3 11 ∙2 3 =6 33

Rationalize the Denominator (No square root on the bottom)

𝟓 𝟑

𝟓 𝟑 𝟓 𝟑 ∙ 𝟑 𝟑 = 𝟓 𝟑 𝟑

𝟏 1+ 𝟑

Same numbers, different sign 𝟏 1+ 𝟑 𝟏 𝟏+ 𝟑 ∙ 𝟏− 𝟑 𝟏− 𝟑 = 𝟏− 𝟑 𝟏−𝟑 = 𝟏− 𝟑 −𝟐