1.1 Simplifying, Adding, & Subtracting Radicals Homework
Acc Alg I/Geo A
Directions: Simplify completely!
1) √80
2) 2√280
3) 3√81
4) √63𝑚8
5) √500𝑔5 𝑟 9
6) √2048𝑚9
64
5
3
3
512
7) 5 √64𝑟 17
8) √169 𝑥 6
9) √729 𝑚12
10) 8√6 + 3√6
11) 3√5 − 5√3
12) 4√3 − 7√3
13) 2√3 + √12
14) 3√7 − 2√28
15) 2√50 − 3√32
49
3
64
16) √18 + √108 + √50
17) 2√20 − 3√24 − √180
18) √ 9 + √1000
19) √40𝑥 3 + 3𝑥√10𝑥
20) √500𝑟 8 − 12𝑟 4 √80
21) √50𝑟 6 − √32𝑟 7
Directions: Solve each problem.
24) Find the exact measure of the missing angle.
25) The Scotts have a yard in the shape of a square. The area of the yard is 128 square meters, and the Scotts
want to place a fence to border their entire yard. How long will this fence be?
26) What error did the student make in simplifying the radical expression?
Problem: √9𝑥 2 𝑦 3
Step One: √9𝑥 2 𝑦 2 ∗ √𝑦
Step Two: 9𝑥𝑦√𝑦
27) What is the measure of the hypotenuse on the triangle?