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Square Roots Approximating Between Perfect Square Roots (Level 2)

This math topic focuses on approximating square roots by identifying the nearest perfect square roots above and below a given non-perfect square root. Each question presents a square root value for which students must determine the closest lesser and greater perfect squares, enhancing their ability to estimate and understand the relationship between numbers and their square roots. This exercise is part of a broader unit on squares and square roots.

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

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Square Roots Approximating Between Perfect Square Roots

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


Find the closest perfect square roots above and below the given square root

?<87<?\sqrt{?} < \sqrt{87} < \sqrt{?}

Square Roots Approximating Between Perfect Square Roots Worksheet

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Math worksheet on 'Square Roots Approximating Between Perfect Square Roots (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 perfect square roots above and below the given square root
A LaTex expression showing square root of ? < square root of 22 < square root of ?
a
16, 35
b
12, 35
c
16, 25
d
16, 31
e
20, 33
f
9, 25
2
Find the closest perfect square roots above and below the given square root
A LaTex expression showing square root of ? < square root of 53 < square root of ?
a
49, 81
b
51, 62
c
51, 72
d
36, 64
e
49, 64
f
51, 56
3
Find the closest perfect square roots above and below the given square root
A LaTex expression showing square root of ? < square root of 70 < square root of ?
a
68, 77
b
64, 83
c
64, 89
d
64, 100
e
66, 77
f
64, 81
4
Find the closest perfect square roots above and below the given square root
A LaTex expression showing square root of ? < square root of 2 < square root of ?
a
1, 6
b
1, 12
c
1, 9
d
1, 22
e
1, 4
f
1, 14
5
Find the closest perfect square roots above and below the given square root
A LaTex expression showing square root of ? < square root of 71 < square root of ?
a
62, 91
b
64, 93
c
60, 97
d
64, 81
e
68, 91
f
66, 93
6
Find the closest perfect square roots above and below the given square root
A LaTex expression showing square root of ? < square root of 90 < square root of ?
a
81, 100
b
85, 92
c
83, 112
d
85, 110
e
85, 100
f
79, 92
7
Find the closest perfect square roots above and below the given square root
A LaTex expression showing square root of ? < square root of 21 < square root of ?
a
18, 23
b
18, 25
c
16, 33
d
16, 37
e
16, 25
f
16, 31