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Square Roots Approximating Between Integers (Level 3)

This math topic involves determining the nearest integer values that a given square root falls between, advancing skills in approximating square roots. It provides a sequence of problems where students are asked to identify pairs of consecutive integers that bracket the square root of specific numbers. Each question provides multiple choices, aimed at aiding learners in enhancing their estimation abilities concerning square roots, which is part of a broader unit on 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—¯<155<â—¯\bigcirc < \sqrt{155} < \bigcirc

Square Roots Approximating Between Integers Worksheet

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Math worksheet on 'Square Roots Approximating Between Integers (Level 3)'. 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 131 < \bigcirc
a
11, 12
b
8, 9
c
13, 14
d
9, 10
e
12, 13
f
10, 11
2
Find the closest integers to the given square root
A LaTex expression showing \bigcirc < square root of 155 < \bigcirc
a
13, 14
b
11, 12
c
14, 15
d
12, 13
e
9, 10
f
10, 11
3
Find the closest integers to the given square root
A LaTex expression showing \bigcirc < square root of 150 < \bigcirc
a
10, 11
b
11, 12
c
9, 10
d
13, 14
e
12, 13
f
14, 15
4
Find the closest integers to the given square root
A LaTex expression showing \bigcirc < square root of 134 < \bigcirc
a
12, 13
b
10, 11
c
9, 10
d
8, 9
e
11, 12
f
13, 14
5
Find the closest integers to the given square root
A LaTex expression showing \bigcirc < square root of 135 < \bigcirc
a
13, 14
b
9, 10
c
8, 9
d
11, 12
e
10, 11
6
Find the closest integers to the given square root
A LaTex expression showing \bigcirc < square root of 158 < \bigcirc
a
13, 14
b
14, 15
c
9, 10
d
10, 11
e
12, 13
f
11, 12
7
Find the closest integers to the given square root
A LaTex expression showing \bigcirc < square root of 157 < \bigcirc
a
14, 15
b
9, 10
c
13, 14
d
12, 13
e
11, 12
f
10, 11