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Radicals - Adding and Subtracting (Values Only) (Level 2)

This topic focuses on practicing the addition and subtraction of radical expressions. Students are required to simplify expressions before performing the arithmetic operations. The problems all involve different numbers under the radical, challenging students to manipulate and combine these expressions correctly. The topic, designed as "Radicals - Adding and Subtracting (Values Only)" at level 2, provides a foundational understanding of handling radicals in mathematical expressions. There are multiple-choice answers for each problem, which help sharpen the students' skills in identifying correct simplification and calculation methods for radicals.

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

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Adding and Subtracting (Values Only)

Complete these online problems with 80% or 4 correct answers in a row. Results are immediate.


Simplify, then add or subtract the radical expressions

176−11\sqrt{176} - \sqrt{11}

Radicals - Adding and Subtracting (Values Only) Worksheet

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Math worksheet on 'Radicals - Adding and Subtracting (Values Only) (Level 2)'. Part of a broader unit on 'Radicals - Addition and Subtraction Intro' Learn online: app.mobius.academy/math/units/radicals_addition_and_subtraction_intro/
1
Simplify, then add or subtract the radical expressions
A LaTex expression showing square root of 2 - square root of 8
a A LaTex expression showing square root of 3 - square root of 2
b A LaTex expression showing 3square root of 2
c A LaTex expression showing 3square root of 5 - 1
d A LaTex expression showing -1square root of 2
e A LaTex expression showing square root of 3 - 4
f A LaTex expression showing square root of 2
2
Simplify, then add or subtract the radical expressions
A LaTex expression showing square root of 11 - square root of 176
a A LaTex expression showing 3square root of 7 - 3square root of 12
b A LaTex expression showing -3square root of 11
c A LaTex expression showing square root of 11
d A LaTex expression showing 3square root of 11
e A LaTex expression showing -5square root of 14
f A LaTex expression showing square root of 12 - 7square root of 9
3
Simplify, then add or subtract the radical expressions
A LaTex expression showing square root of 7 - square root of 175
a A LaTex expression showing -4square root of 7
b A LaTex expression showing square root of 7
c A LaTex expression showing 4square root of 8 - 7square root of 9
d A LaTex expression showing 5square root of 7
e A LaTex expression showing 4square root of 5 - 3square root of 9
f A LaTex expression showing -4
4
Simplify, then add or subtract the radical expressions
A LaTex expression showing square root of 125 - square root of 5
a A LaTex expression showing 4
b A LaTex expression showing 7square root of 6 - square root of 4
c A LaTex expression showing 5square root of 4
d A LaTex expression showing 4square root of 5
e A LaTex expression showing 4square root of 3 - square root of 6
f A LaTex expression showing square root of 5
5
Simplify, then add or subtract the radical expressions
A LaTex expression showing square root of 32 + square root of 2
a A LaTex expression showing 3square root of 4 + square root of 5
b A LaTex expression showing square root of 2
c A LaTex expression showing 2
d A LaTex expression showing 4square root of 4 + square root of 5
e A LaTex expression showing 5square root of 2
f A LaTex expression showing 5
6
Simplify, then add or subtract the radical expressions
A LaTex expression showing square root of 7 + square root of 28
a A LaTex expression showing 7square root of 4
b A LaTex expression showing 3
c A LaTex expression showing 3square root of 3
d A LaTex expression showing 3square root of 7
e A LaTex expression showing square root of 3 + square root of 8
f A LaTex expression showing square root of 7
7
Simplify, then add or subtract the radical expressions
A LaTex expression showing square root of 112 + square root of 7
a A LaTex expression showing square root of 9 + square root of 7
b A LaTex expression showing 7square root of 4 + square root of 10
c A LaTex expression showing 6square root of 3 + square root of 6
d A LaTex expression showing 5
e A LaTex expression showing square root of 7
f A LaTex expression showing 5square root of 7