Adding and Subtracting (Values Only) (Level 5)

This math topic focuses on practicing the simplification, addition, and subtraction of radical expressions. The problems vary in complexity and include a mix of different types of radicals, such as square roots and cube roots. Students must identify and apply appropriate mathematical procedures to simplify the given radicals before performing addition or subtraction. Each question offers multiple answers, which implies that the problems aim to develop both simplification skills and understanding of operations involving radicals.

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

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Radicals - Adding and Subtracting (Values Only) Worksheet

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Math worksheet on 'Radicals - Adding and Subtracting (Values Only) (Level 5)'. 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 112 + square root of 28 + square root of 112
a A LaTex expression showing square root of 6 + square root of 5 + 6square root of 9
b A LaTex expression showing 6 + 4square root of 7
c A LaTex expression showing 6square root of 7 + 4square root of 7
d A LaTex expression showing 9square root of 7 + 5square root of 5
e A LaTex expression showing 3square root of 7 + 4square root of 7
2
Simplify, then add or subtract the radical expressions
A LaTex expression showing 3-th root of 40 + 3-th root of 135 - 3-th root of 40
a A LaTex expression showing 53-th root of 5 + 23-th root of 5
b A LaTex expression showing 3-th root of 5 + 23-th root of 5
c A LaTex expression showing 53-th root of 7 + 3-th root of 5 - 23-th root of 2
3
Simplify, then add or subtract the radical expressions
A LaTex expression showing 3-th root of 135 - 3-th root of 320 + 3-th root of 320
a A LaTex expression showing 3-th root of 5 - 43-th root of 5
b A LaTex expression showing 53-th root of 5 - 43-th root of 5
c A LaTex expression showing -1 - 43-th root of 5
d A LaTex expression showing -13-th root of 5 - 43-th root of 5
4
Simplify, then add or subtract the radical expressions
A LaTex expression showing square root of 99 - square root of 99 + square root of 176
a A LaTex expression showing square root of 13 - 3square root of 7 + 7square root of 11
b A LaTex expression showing 11square root of 10 - square root of 7
c A LaTex expression showing square root of 11 - 4square root of 11
d A LaTex expression showing 4square root of 11
5
Simplify, then add or subtract the radical expressions
A LaTex expression showing 3-th root of 297 + 3-th root of 88 - 3-th root of 297
a A LaTex expression showing 43-th root of 12 - 3-th root of 7
b A LaTex expression showing 53-th root of 3 + 33-th root of 11
c A LaTex expression showing 53-th root of 11 + 33-th root of 11
d A LaTex expression showing 5 + 33-th root of 11
e A LaTex expression showing -23-th root of 10 + 43-th root of 11
6
Simplify, then add or subtract the radical expressions
A LaTex expression showing 3-th root of 189 + 3-th root of 56 - 3-th root of 189
a A LaTex expression showing 53-th root of 7 + 33-th root of 7
b A LaTex expression showing 43-th root of 9 + 3-th root of 3 - 53-th root of 5
c A LaTex expression showing 33-th root of 6 + 3-th root of 7 - 3-th root of 8
d A LaTex expression showing 3-th root of 7 + 33-th root of 7
7
Simplify, then add or subtract the radical expressions
A LaTex expression showing 3-th root of 81 + 3-th root of 192 + 3-th root of 81
a A LaTex expression showing 33-th root of 3 + 33-th root of 3
b A LaTex expression showing 7 + 3-th root of 4
c A LaTex expression showing 3-th root of 4 + 2 + 33-th root of 2
d A LaTex expression showing 43-th root of 3 + 33-th root of 3
e A LaTex expression showing 73-th root of 3 + 33-th root of 3