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Radicals - Addition Under Squared Radical to Integer (Level 2)

This math topic focuses on practicing simplification of radicals involving the addition under a square root and transforming it into an integer or a simpler radical form. It's designed for learners to strengthen their understanding of simplifying square roots of algebraic and numeric expressions. The problems involve various operations under the radical before simplification and various answer choices illustrating different simplified forms of the initial expressions. This is part of a broader unit on introductory radical simplification techniques.

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

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Addition Under Squared Radical to Integer

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Simplify the radical.

69−5\sqrt{69 - 5}

Radicals - Addition Under Squared Radical to Integer Worksheet

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Math worksheet on 'Radicals - Addition Under Squared Radical to Integer (Level 2)'. Part of a broader unit on 'Radicals - Simplifying Intro' Learn online: app.mobius.academy/math/units/radicals_simplifying_intro/
1
Simplify the radical.
A LaTex expression showing square root of 127 - 27
a A LaTex expression showing 7square root of 2
b A LaTex expression showing 8
c A LaTex expression showing 11
d A LaTex expression showing 11square root of 4
e A LaTex expression showing 10
f A LaTex expression showing 9
2
Simplify the radical.
A LaTex expression showing square root of 20 - 4
a A LaTex expression showing 1
b A LaTex expression showing 4
c A LaTex expression showing 7square root of 4
d A LaTex expression showing 4square root of 3
e A LaTex expression showing 5square root of 4
f A LaTex expression showing 3square root of 2
3
Simplify the radical.
A LaTex expression showing square root of 12 + 24
a A LaTex expression showing 9
b A LaTex expression showing 8square root of 3
c A LaTex expression showing 3square root of 2
d A LaTex expression showing 8
e A LaTex expression showing 6
f A LaTex expression showing 8square root of 4
4
Simplify the radical.
A LaTex expression showing square root of 115 - 15
a A LaTex expression showing 7square root of 4
b A LaTex expression showing 11
c A LaTex expression showing 10
d A LaTex expression showing 6square root of 4
e A LaTex expression showing 6square root of 3
f A LaTex expression showing 6
5
Simplify the radical.
A LaTex expression showing square root of 74 - 10
a A LaTex expression showing 6square root of 2
b A LaTex expression showing 8square root of 3
c A LaTex expression showing 6
d A LaTex expression showing 8
e A LaTex expression showing 9
f A LaTex expression showing 7
6
Simplify the radical.
A LaTex expression showing square root of 21 + 15
a A LaTex expression showing 5
b A LaTex expression showing 7
c A LaTex expression showing 7square root of 4
d A LaTex expression showing 6
e A LaTex expression showing 3
f A LaTex expression showing 2
7
Simplify the radical.
A LaTex expression showing square root of 1 + 3
a A LaTex expression showing 2
b A LaTex expression showing square root of 3
c A LaTex expression showing 2square root of 3
d A LaTex expression showing square root of 2
e A LaTex expression showing 3square root of 2
f A LaTex expression showing 1