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 Worksheet

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Square Roots Approximating Between Perfect Square Roots
1
Find the closest perfect square roots above and below the given square root
A LaTex expression showing square root of ? < square root of 7 < square root of ?
a
2, 7
b
2, 15
c
4, 19
d
4, 16
e
4, 9
f
1, 9
2
Find the closest perfect square roots above and below the given square root
A LaTex expression showing square root of ? < square root of 29 < square root of ?
a
21, 42
b
25, 36
c
25, 49
d
27, 36
e
25, 32
f
25, 38
3
Find the closest perfect square roots above and below the given square root
A LaTex expression showing square root of ? < square root of 11 < square root of ?
a
9, 25
b
11, 18
c
9, 34
d
9, 16
e
4, 16
f
9, 24
4
Find the closest perfect square roots above and below the given square root
A LaTex expression showing square root of ? < square root of 28 < square root of ?
a
25, 44
b
25, 49
c
27, 34
d
23, 42
e
25, 46
f
25, 36
5
Find the closest perfect square roots above and below the given square root
A LaTex expression showing square root of ? < square root of 43 < square root of ?
a
40, 67
b
40, 65
c
25, 49
d
38, 49
e
36, 49
f
32, 61
6
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, 25
b
16, 31
c
16, 25
d
18, 23
e
16, 37
f
16, 33
7
Find the closest perfect square roots above and below the given square root
A LaTex expression showing square root of ? < square root of 20 < square root of ?
a
18, 27
b
16, 25
c
16, 41
d
16, 35
e
16, 21
f
9, 25
8
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, 14
b
1, 16
c
1, 6
d
1, 9
e
1, 4
f
1, 20