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Radicals - Adding and Subtracting from Simplified (Values Only) (Level 5)

This math topic focuses on practicing the addition and subtraction of radicals, specifically working with expressions in their simplified forms. Students tackle various radical operations involving square roots and cube roots of different numerical values. The task requires combining like terms and simplifying radical expressions to find the solution. Each problem presents multiple answer choices, enhancing problem-solving skills and understanding of radical operations.

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

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Adding and Subtracting from Simplified (Values Only)

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


Add or subtract the radical expressions

42+52+524\sqrt{2} + 5\sqrt{2} + 5\sqrt{2}

Radicals - Adding and Subtracting from Simplified (Values Only) Worksheet

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Math worksheet on 'Radicals - Adding and Subtracting from Simplified (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
Add or subtract the radical expressions
A LaTex expression showing 4square root of 5 - 5square root of 5 - 4square root of 5
a A LaTex expression showing 5square root of 6 - 8 - 4square root of 3
b A LaTex expression showing square root of 5 - 4square root of 5
c A LaTex expression showing -1square root of 2 - 4square root of 5
d A LaTex expression showing 2square root of 8 - 6square root of 3
e A LaTex expression showing -1square root of 5 - 4square root of 5
f A LaTex expression showing 6square root of 3 - 6square root of 2 - 5square root of 7
2
Add or subtract the radical expressions
A LaTex expression showing 3square root of 7 - 3square root of 7 - 4square root of 7
a A LaTex expression showing -6square root of 10 - 6square root of 8
b A LaTex expression showing 3square root of 7 - 4square root of 7
c A LaTex expression showing 4square root of 7
d A LaTex expression showing 7square root of 3
e A LaTex expression showing 6square root of 5 - 3square root of 9 - 2square root of 6
f A LaTex expression showing square root of 7 - 4square root of 7
3
Add or subtract the radical expressions
A LaTex expression showing 4square root of 3 + 3square root of 3 + 2square root of 3
a A LaTex expression showing 5square root of 3 + 4
b A LaTex expression showing 6 + 1
c A LaTex expression showing 7square root of 3 + 2square root of 3
d A LaTex expression showing square root of 3 + 2square root of 3
e A LaTex expression showing 7 + 2square root of 3
f A LaTex expression showing 5square root of 4 + 1 + square root of 2
4
Add or subtract the radical expressions
A LaTex expression showing 33-th root of 2 + 33-th root of 2 - 43-th root of 2
a A LaTex expression showing 3-th root of 3 + 3-th root of 5 - 43-th root of 2
b A LaTex expression showing 23-th root of 2 + 3-th root of 4 - 53-th root of 3
c A LaTex expression showing 6 + 43-th root of 2
d A LaTex expression showing 3-th root of 2 + 43-th root of 2
e A LaTex expression showing 63-th root of 2 + 43-th root of 2
f A LaTex expression showing 63-th root of 3 + 43-th root of 2
5
Add or subtract the radical expressions
A LaTex expression showing 33-th root of 2 - 43-th root of 2 + 23-th root of 2
a A LaTex expression showing 3-th root of 2 - 23-th root of 2
b A LaTex expression showing -13-th root of 2 - 23-th root of 2
c A LaTex expression showing 43-th root of 2 - 23-th root of 2
d A LaTex expression showing -3 - 4
e A LaTex expression showing 33-th root of 4 - 5 + 3-th root of 3
f A LaTex expression showing -13-th root of 4 - 23-th root of 2
6
Add or subtract the radical expressions
A LaTex expression showing 2square root of 11 - 2square root of 11 + 3square root of 11
a A LaTex expression showing square root of 11 - 3square root of 11
b A LaTex expression showing square root of 10 - 5square root of 13 + square root of 11
c A LaTex expression showing 2square root of 11 - 3square root of 11
d A LaTex expression showing 3square root of 11 - 3square root of 11
e A LaTex expression showing 3square root of 11
f A LaTex expression showing 4square root of 12 - 5square root of 13 + square root of 14
7
Add or subtract the radical expressions
A LaTex expression showing 23-th root of 11 + 33-th root of 11 + 23-th root of 11
a A LaTex expression showing 53-th root of 11 + 23-th root of 11
b A LaTex expression showing 5 + 23-th root of 11
c A LaTex expression showing 33-th root of 11 + 23-th root of 11
d A LaTex expression showing 23-th root of 11 + 23-th root of 11
e A LaTex expression showing 3-th root of 11 + 23-th root of 11
f A LaTex expression showing 43-th root of 8 + 3-th root of 7 + 3-th root of 14