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Radicals - Adding and Subtracting (Values Only) (Level 3)

This math topic focuses on the skills of simplifying and performing addition and subtraction on numerical radical expressions. It includes questions where students are expected to simplify each radical before finding the sum or difference. Each question provides a series of answer options involving radicals, integers, or combinations of both to be evaluated. This selection of problems is used to deepen understanding of radicals and their manipulations within arithmetic operations.

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

44+275\sqrt{44} + \sqrt{275}

Radicals - Adding and Subtracting (Values Only) Worksheet

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Math worksheet on 'Radicals - Adding and Subtracting (Values Only) (Level 3)'. 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 75 + square root of 48
a A LaTex expression showing 9
b A LaTex expression showing 9square root of 3
c A LaTex expression showing 3square root of 3
d A LaTex expression showing 3square root of 3 + 7
e A LaTex expression showing square root of 3
f A LaTex expression showing 5square root of 3
2
Simplify, then add or subtract the radical expressions
A LaTex expression showing square root of 275 + square root of 99
a A LaTex expression showing 8
b A LaTex expression showing 5square root of 13 + 5square root of 11
c A LaTex expression showing square root of 11
d A LaTex expression showing 8square root of 11
e A LaTex expression showing 8square root of 3
f A LaTex expression showing 6square root of 13 + 5square root of 9
3
Simplify, then add or subtract the radical expressions
A LaTex expression showing square root of 75 - square root of 27
a A LaTex expression showing 5square root of 4 - 4square root of 2
b A LaTex expression showing 5square root of 4 - square root of 2
c A LaTex expression showing 2
d A LaTex expression showing square root of 3
e A LaTex expression showing 8square root of 2 - 3square root of 5
f A LaTex expression showing 2square root of 3
4
Simplify, then add or subtract the radical expressions
A LaTex expression showing square root of 99 + square root of 176
a A LaTex expression showing square root of 11
b A LaTex expression showing 5square root of 8 + 6square root of 9
c A LaTex expression showing 7square root of 11
d A LaTex expression showing square root of 12 + square root of 7
e A LaTex expression showing 7
f A LaTex expression showing 4square root of 13 + 3square root of 12
5
Simplify, then add or subtract the radical expressions
A LaTex expression showing square root of 8 - square root of 50
a A LaTex expression showing -3
b A LaTex expression showing -3square root of 2
c A LaTex expression showing square root of 5 - 3
d A LaTex expression showing 1 - 7square root of 5
e A LaTex expression showing square root of 2
f A LaTex expression showing 3square root of 2
6
Simplify, then add or subtract the radical expressions
A LaTex expression showing square root of 48 + square root of 27
a A LaTex expression showing 4square root of 3
b A LaTex expression showing 7
c A LaTex expression showing 5square root of 3
d A LaTex expression showing 7square root of 5 + 5square root of 2
e A LaTex expression showing 7square root of 3
f A LaTex expression showing square root of 3
7
Simplify, then add or subtract the radical expressions
A LaTex expression showing square root of 18 - square root of 50
a A LaTex expression showing 2 - 7square root of 3
b A LaTex expression showing 1 - 6square root of 4
c A LaTex expression showing -3
d A LaTex expression showing 5square root of 2
e A LaTex expression showing square root of 2
f A LaTex expression showing -2square root of 2