Warm Up
4/28/17
Simplify.
1. √96
2. 3√180
Rationalize the denominator.
3.
15
√6
4.
2
√5
22.1 Cont.
Solving 𝑎(𝑥 + 𝑏)2 = 𝑐 by using square roots.
Always isolate the squared part of the quadratic expression on
one side of the equation first.
Ex: Solve (𝑥 + 5)2 = 36 Give the answer in simplest radical form.
Take the square root of both sides.
Simplify the square root.
Subtract 5 from both sides.
Solve for both cases.
√(𝑥 + 5)2 = √36
𝑥 + 5 = ±6
-5
-5
𝑥 = ±6 − 5
𝑥 = 6 − 5 or 𝑥 = −6 − 5
𝑥 = 1 or 𝑥 = −11
Solve 3(𝑥 − 5)2 = 18
Divide both sides by 3.
Take the square root of both
sides.
Add 5 to both sides.
Solve for both cases.
3(𝑥 − 5)2 = 18
3
3
√(𝑥 − 5)2 = √6
𝑥 − 5 = ±√6
+ 5
+5
𝑥 = √6 + 5 or 𝑥 = −√6 + 5
𝑥 = ±√6 + 5