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Radicals - 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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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

275−275+44\sqrt{275} - \sqrt{275} + \sqrt{44}

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 176 - square root of 275 - square root of 44
a A LaTex expression showing 3square root of 11 - 2square root of 11
b A LaTex expression showing square root of 11 - 2square root of 11
c A LaTex expression showing 5square root of 11 - 2square root of 11
d A LaTex expression showing 2square root of 7 - 7square root of 10
e A LaTex expression showing -1 - 2square root of 11
f A LaTex expression showing -1square root of 11 - 2square root of 11
2
Simplify, then add or subtract the radical expressions
A LaTex expression showing 3-th root of 189 - 3-th root of 448 - 3-th root of 56
a A LaTex expression showing -13-th root of 4 - 23-th root of 7
b A LaTex expression showing 3-th root of 9 - 73-th root of 10 - 3-th root of 6
c A LaTex expression showing -13-th root of 7 - 23-th root of 7
d A LaTex expression showing 3-th root of 4 - 63-th root of 7 - 23-th root of 8
e A LaTex expression showing 23-th root of 8 - 43-th root of 6
f A LaTex expression showing 3-th root of 7 - 23-th root of 7
3
Simplify, then add or subtract the radical expressions
A LaTex expression showing square root of 175 - square root of 63 - square root of 28
a A LaTex expression showing 4square root of 7 - 2square root of 7
b A LaTex expression showing 3square root of 3 - 6square root of 6
c A LaTex expression showing square root of 7 - 2square root of 7
d A LaTex expression showing 2 - 2square root of 7
e A LaTex expression showing 2square root of 7 - 2square root of 7
f A LaTex expression showing 2square root of 4 - 2square root of 7
4
Simplify, then add or subtract the radical expressions
A LaTex expression showing square root of 27 - square root of 12 - square root of 27
a A LaTex expression showing 1 - 3square root of 3
b A LaTex expression showing 4square root of 4 - 1
c A LaTex expression showing 5square root of 3 - 3square root of 3
d A LaTex expression showing 6 - square root of 4 - 3square root of 3
e A LaTex expression showing 2square root of 2 - square root of 4 - 3
f A LaTex expression showing square root of 3 - 3square root of 3
5
Simplify, then add or subtract the radical expressions
A LaTex expression showing square root of 275 + square root of 99 - square root of 176
a A LaTex expression showing 2square root of 11 + 6square root of 10 - 2square root of 9
b A LaTex expression showing 6square root of 9 + 2square root of 8 - 5square root of 12
c A LaTex expression showing 8 + 4square root of 11
d A LaTex expression showing 8square root of 3 + 4square root of 11
e A LaTex expression showing 2square root of 11 + 4square root of 11
f A LaTex expression showing 8square root of 11 + 4square root of 11
6
Simplify, then add or subtract the radical expressions
A LaTex expression showing square root of 27 - square root of 27 + square root of 75
a A LaTex expression showing 2square root of 6 - 2square root of 5 + 5square root of 4
b A LaTex expression showing 3square root of 4 + 7
c A LaTex expression showing 5square root of 3
d A LaTex expression showing square root of 3 - 5square root of 3
e A LaTex expression showing 4square root of 3 - 5square root of 3
f A LaTex expression showing 2square root of 4 - 2square root of 6
7
Simplify, then add or subtract the radical expressions
A LaTex expression showing 3-th root of 88 - 3-th root of 88 - 3-th root of 704
a A LaTex expression showing 3-th root of 7 - 3-th root of 12 - 3-th root of 14
b A LaTex expression showing 23-th root of 11 - 43-th root of 11
c A LaTex expression showing 3-th root of 11 - 43-th root of 11
d A LaTex expression showing 33-th root of 11 - 43-th root of 11
e A LaTex expression showing 3-th root of 9 - 3-th root of 8 - 3-th root of 10
f A LaTex expression showing 43-th root of 11