Simplify each expression (Example 1) 169‾‾‾‾√
169

400‾‾‾‾√
400

19‾‾√
1
9

0.25‾‾‾‾√
0.25
3649‾‾‾√
36
49
1.96‾‾‾‾√
1.96

900‾‾‾‾√
900

−1.21‾‾‾‾√
−
1.21
−144‾‾‾‾√
−
144

±0.01‾‾‾‾√
±
0.01

2516‾‾‾√
25
16

0.36‾‾‾‾√
0.36

Tell whether each expression is rational or irrational. (Example 2)

37‾‾‾√
37

0.04‾‾‾‾√
0.04

±15‾‾√
±
1
5
−16121‾‾‾‾√
−
16
121

Between what two consecutive numbers is each square root? (Example 3)
35‾‾‾√
35
27‾‾‾√
27
−130‾‾‾‾√
−
130
170‾‾‾‾√
170

Use a calculator* to finds each square root to the nearest hundredth. (Example 4)
12‾‾‾√
12

203‾‾‾‾√
203

11,550‾‾‾‾‾‾‾√
11
,
550

−150‾‾‾‾√
−
150

Real World Problem Solving (Example 5)

The elasticity coefficient e of a ball relates the height r of its rebound to the height h from which it is dropped. You can use the function =ℎ‾‾√
e
=
r
h
to find the elasticity coefficient. What is the elasticity coefficient of a ball that rebounds 3 feet after it is dropped from a height of 3.5 feet? Round to the nearest hundredth.

r = h= =ℎ‾‾√=
e
=
r
h
=