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Square Roots Approximating Between Integers (Level 1)

This math topic focuses on approximating square roots to the nearest integers. Students are tasked with identifying two integers between which the square root of a given number falls. Each question presents a different number for which learners find two consecutive integers that bracket its square root. This skill is essential for understanding and estimating non-perfect squares, reinforcing foundational concepts in algebra and number sense. The topic forms part of a broader unit on the fundamentals of Pythagorean theorem, enhancing students' ability to handle square roots in various mathematical contexts.

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—¯<112<â—¯\bigcirc < \sqrt{112} < \bigcirc

Square Roots Approximating Between Integers Worksheet

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Math worksheet on 'Square Roots Approximating Between Integers (Level 1)'. 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 2 < \bigcirc
a
1, 2
b
2, 3
c
3, 4
2
Find the closest integers to the given square root
A LaTex expression showing \bigcirc < square root of 13 < \bigcirc
a
1, 2
b
5, 6
c
3, 4
d
4, 5
e
2, 3
3
Find the closest integers to the given square root
A LaTex expression showing \bigcirc < square root of 71 < \bigcirc
a
7, 8
b
10, 11
c
5, 6
d
6, 7
e
9, 10
f
8, 9
4
Find the closest integers to the given square root
A LaTex expression showing \bigcirc < square root of 106 < \bigcirc
a
9, 10
b
12, 13
c
10, 11
d
7, 8
e
11, 12
f
8, 9
5
Find the closest integers to the given square root
A LaTex expression showing \bigcirc < square root of 43 < \bigcirc
a
3, 4
b
5, 6
c
8, 9
d
4, 5
e
6, 7
f
7, 8
6
Find the closest integers to the given square root
A LaTex expression showing \bigcirc < square root of 72 < \bigcirc
a
10, 11
b
6, 7
c
8, 9
d
9, 10
e
5, 6
f
7, 8
7
Find the closest integers to the given square root
A LaTex expression showing \bigcirc < square root of 89 < \bigcirc
a
11, 12
b
10, 11
c
6, 7
d
9, 10
e
7, 8
f
8, 9