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Square Root Approximation Near Perfect Square (Level 3)

This math topic revolves around practicing square root approximations near perfect squares. It is part of an advanced section on squares and square roots. The problems present expressions where learners must approximate the square root of a number slightly different from a perfect square, such as finding a close approximate value for the square root of 67 when knowing that the square root of 64 is 8. The worksheet offers multiple choice answers, enhancing the learner's ability to estimate and calculate square roots just above or below those of perfect square numbers.

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

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Square Root Approximation Near Perfect Square

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What is a good approximation for the second square root?

121=11123≈?\sqrt{121} = 11\\\sqrt{123} \approx ?

Square Root Approximation Near Perfect Square Worksheet

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Math worksheet on 'Square Root Approximation Near Perfect Square (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
What is a good approximation for the second square root?
A LaTex expression showing square root of 144 = 12\\square root of 142 \approx ?
a
11.1
b
14.3
c
9.5
d
11.9
e
12.7
f
15.1
2
What is a good approximation for the second square root?
A LaTex expression showing square root of 121 = 11\\square root of 123 \approx ?
a
14.3
b
13.5
c
7.9
d
10.3
e
9.5
f
11.1
3
What is a good approximation for the second square root?
A LaTex expression showing square root of 100 = 10\\square root of 96 \approx ?
a
9
b
13
c
12.2
d
9.8
e
7.4
f
11.4
4
What is a good approximation for the second square root?
A LaTex expression showing square root of 64 = 8\\square root of 67 \approx ?
a
9
b
7.4
c
9.8
d
10.6
e
8.2
f
6.6