This math topic focuses on approximating square roots between integers. It is designed to help students identify which two consecutive integers a square root value falls between. In each problem, students must choose the pair of integers closest to the square root of a given number. The practice includes several examples and choices, enhancing students' understanding of squares and square roots at an advanced level.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

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Square Roots Approximating Between Integers Worksheet

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Square Roots Approximating Between Integers
1
Find the closest integers to the given square root
A LaTex expression showing \bigcirc < square root of 76 < \bigcirc
a
8, 9
b
7, 8
c
9, 10
d
5, 6
e
6, 7
f
10, 11
2
Find the closest integers to the given square root
A LaTex expression showing \bigcirc < square root of 59 < \bigcirc
a
7, 8
b
4, 5
c
6, 7
d
8, 9
e
5, 6
3
Find the closest integers to the given square root
A LaTex expression showing \bigcirc < square root of 136 < \bigcirc
a
10, 11
b
8, 9
c
12, 13
d
11, 12
e
13, 14
f
9, 10
4
Find the closest integers to the given square root
A LaTex expression showing \bigcirc < square root of 88 < \bigcirc
a
11, 12
b
8, 9
c
6, 7
d
7, 8
e
9, 10
f
10, 11
5
Find the closest integers to the given square root
A LaTex expression showing \bigcirc < square root of 93 < \bigcirc
a
7, 8
b
11, 12
c
6, 7
d
9, 10
e
8, 9
f
10, 11
6
Find the closest integers to the given square root
A LaTex expression showing \bigcirc < square root of 45 < \bigcirc
a
3, 4
b
4, 5
c
7, 8
d
8, 9
e
5, 6
f
6, 7
7
Find the closest integers to the given square root
A LaTex expression showing \bigcirc < square root of 155 < \bigcirc
a
12, 13
b
10, 11
c
11, 12
d
9, 10
e
14, 15
f
13, 14
8
Find the closest integers to the given square root
A LaTex expression showing \bigcirc < square root of 158 < \bigcirc
a
14, 15
b
10, 11
c
11, 12
d
12, 13
e
13, 14
f
9, 10