This math topic focuses on practicing the approximation of square roots, which is a foundational aspect of Pythagorean theory. Through multiple-choice format, students are provided with different square root problems, ranging numerically (e.g., square roots of 7, 19, 32, 73, 75, 110, etc.). Each problem requires selecting the closest approximate value from a list of options. This type of question enhances understanding of square roots and their practical estimation, helping to develop numerical and analytical skills relevant to geometry and broader mathematical concepts.

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 19
a
3.6
b
5.8
c
2.8
d
4.3
e
2.1
f
5.1
2
Find the best approximation of the given square root
A LaTex expression showing square root of 28
a
6.7
b
5.3
c
3
d
4.5
e
6
f
3.8
3
Find the best approximation of the given square root
A LaTex expression showing square root of 114
a
9.2
b
8.5
c
12.2
d
12.9
e
11.4
f
10.7
4
Find the best approximation of the given square root
A LaTex expression showing square root of 3
a
1
b
0.2
c
3.9
d
3.2
e
1.7
f
2.4
5
Find the best approximation of the given square root
A LaTex expression showing square root of 75
a
10.2
b
7.9
c
10.9
d
8.7
e
7.2
f
9.4
6
Find the best approximation of the given square root
A LaTex expression showing square root of 2
a
3.5
b
1.3
c
0.5
d
2.7
e
2
7
Find the best approximation of the given square root
A LaTex expression showing square root of 71
a
10.6
b
8.4
c
6.2
d
9.1
e
6.9
f
7.7
8
Find the best approximation of the given square root
A LaTex expression showing square root of 55
a
8.9
b
9.7
c
6
d
7.4
e
5.2
f
8.2