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Square Roots Approximating Between Integers (Level 2)

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

Complete these online problems with 80% or 4 correct answers in a row. Results are immediate.


Find the closest integers to the given square root

â—¯<89<â—¯\bigcirc < \sqrt{89} < \bigcirc

Square Roots Approximating Between Integers Worksheet

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Math worksheet on 'Square Roots Approximating Between Integers (Level 2)'. Part of a broader unit on 'Squares and Square Roots - Advanced' Learn online: app.mobius.academy/math/units/squares_and_square_roots_advanced/
1
Find the closest integers to the given square root
A LaTex expression showing \bigcirc < square root of 58 < \bigcirc
a
6, 7
b
8, 9
c
9, 10
d
7, 8
e
4, 5
f
5, 6
2
Find the closest integers to the given square root
A LaTex expression showing \bigcirc < square root of 43 < \bigcirc
a
8, 9
b
3, 4
c
6, 7
d
7, 8
e
5, 6
f
4, 5
3
Find the closest integers to the given square root
A LaTex expression showing \bigcirc < square root of 133 < \bigcirc
a
8, 9
b
10, 11
c
9, 10
d
11, 12
e
13, 14
f
12, 13
4
Find the closest integers to the given square root
A LaTex expression showing \bigcirc < square root of 29 < \bigcirc
a
3, 4
b
7, 8
c
2, 3
d
5, 6
e
4, 5
f
6, 7
5
Find the closest integers to the given square root
A LaTex expression showing \bigcirc < square root of 93 < \bigcirc
a
6, 7
b
10, 11
c
9, 10
d
7, 8
e
11, 12
f
8, 9
6
Find the closest integers to the given square root
A LaTex expression showing \bigcirc < square root of 154 < \bigcirc
a
9, 10
b
13, 14
c
14, 15
d
10, 11
e
11, 12
f
12, 13
7
Find the closest integers to the given square root
A LaTex expression showing \bigcirc < square root of 31 < \bigcirc
a
4, 5
b
5, 6
c
6, 7
d
2, 3
e
3, 4
f
7, 8