This math topic focuses on practicing the approximation of square roots, a part of advanced studies in squares and square roots. Each question presents a numerical value and asks students to choose the best approximation of its square root from a set of multiple choices. The numbers given for square root approximation vary across the questions, providing a range of difficulties to help strengthen estimation skills related to square roots.

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

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Square Roots Approximating Worksheet

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Square Roots Approximating
1
Find the best approximation of the given square root
A LaTex expression showing square root of 43
a
4.4
b
5.1
c
5.8
d
6.6
e
8.1
f
8.8
2
Find the best approximation of the given square root
A LaTex expression showing square root of 28
a
3.8
b
4.5
c
5.3
d
6.7
e
3
f
6
3
Find the best approximation of the given square root
A LaTex expression showing square root of 71
a
8.4
b
9.1
c
7.7
d
6.2
e
10.6
f
6.9
4
Find the best approximation of the given square root
A LaTex expression showing square root of 133
a
13
b
12.3
c
10.8
d
11.5
e
13.8
f
9.3
5
Find the best approximation of the given square root
A LaTex expression showing square root of 132
a
11.5
b
10
c
12.2
d
13
e
9.3
f
10.7
6
Find the best approximation of the given square root
A LaTex expression showing square root of 114
a
12.2
b
9.2
c
8.5
d
11.4
e
12.9
f
10.7
7
Find the best approximation of the given square root
A LaTex expression showing square root of 131
a
13.7
b
9.2
c
10.7
d
10
e
11.4
f
12.9
8
Find the best approximation of the given square root
A LaTex expression showing square root of 41
a
4.2
b
7.9
c
5.7
d
7.2
e
5
f
6.4