Transcript Square Roots – Around the World

81
=9
64
=8
144
= 12
361
= 19
2×2
=2
9
=3
289
= 17
25
=5
121
= 11
5× 5
=5
400
= 20
49
=7
8×8
=8
196
= 14
4
=2
225
= 15
=
19
19 ×19
100
= 10
36
=6
169
= 13
7
2
=7
256
= 16
16
=4
324
= 18
24× 24
= 24
361
= 19
289
= 17
196
= 14
225
= 15
169
= 13
256
= 16
16
2
= 16
324
= 18
169
= 13
18×18
= 18
324
= 18
289
= 17
196
= 14
225
= 15
361
= 19
256
= 16
3×3× 2× 2
=
.
32
=6
5
= 2.24
46
= 6.78
17
= 4.12
5
= 2.24
105
= 10.25
300
= 17.32
215
= 14.66
152
= 12.33
139
= 11.79
Simplifying Square Roots
8
By estimating, we know this is
about 2.8
1. Find a
4×2
2 2
by
.
2. Rewrite
3. Take out the square
Example 1
Simplify the square root. Do not use decimals
27
By estimating, we know this is
about 5.2
1. Find a
9×3
3 3
by
.
2. Rewrite
3. Take out the square
Example 2
Simplify the square root. Do not use decimals
20
By estimating, we know this is
about 4.5
1. Find a
4×5
2 5
by
.
2. Rewrite
3. Take out the square
Example 3
Simplify the square root. Do not use decimals
50
By estimating, we know this is
about 7.1
1. Find a
25× 2
5 2
by
.
2. Rewrite
3. Take out the square
Example 4
Simplify the square root. Do not use decimals
24
By estimating, we know this is
about 4.9
1. Find a
4×6
2 6
by
.
2. Rewrite
3. Take out the square
Simplify the square root. Do not use decimals
63
= 7× 9 = 3 7
75 = 25× 3 = 5 3
Simplify the square root. Do not use decimals
48 = 16 ×3 = 4 3
Simplify the square root. Do not use decimals
2 45
= 2 5× 9 = 2 × 3 5 = 6 5
3 44 = 8 4×11 = 8× 2 11 =16 11
Simplify the square root. Do not use decimals
7 54 = 7 9 × 6 = 7×3 6 = 21 6
Simplify the square root. Do not use decimals
8 × 10 = 8×10 = 2 × 2 × 2 × 2 × 5
= 16 × 5
=4 5
Simplify the square root. Do not use decimals
2 × 14 = 2 ×14
= 2×2×7
= 4× 7
=2 7
Simplify the square root. Do not use decimals
5× 8
= 5×8
= 5× 4 × 2
= 2 2×5
= 2 10
Simplify the square root. Do not use decimals
10 72
-4