Adding and Subtracting from Simplified (Values Only) (Level 3)

This math topic focuses on practicing the addition and subtraction of radical expressions when they are in simplified forms, involving only numerical coefficients. The exercises require combining radicals with the same radicand and simplifying the resulting expressions. Each question provides multiple answer choices, and the correct result relies on understanding the properties of radicals and arithmetic operations.

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

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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 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
Add or subtract the radical expressions
A LaTex expression showing 4square root of 2 + 5square root of 2
a A LaTex expression showing 9square root of 2
b A LaTex expression showing square root of 4 + 1
c A LaTex expression showing 9
d A LaTex expression showing square root of 2
e A LaTex expression showing 6square root of 5 + 2square root of 4
2
Add or subtract the radical expressions
A LaTex expression showing 2square root of 7 + 5square root of 7
a A LaTex expression showing 6square root of 4
b A LaTex expression showing 7square root of 7
c A LaTex expression showing 3square root of 7
d A LaTex expression showing 9square root of 10
e A LaTex expression showing square root of 7
3
Add or subtract the radical expressions
A LaTex expression showing 2square root of 5 + 5square root of 5
a A LaTex expression showing 5square root of 7 + 7square root of 3
b A LaTex expression showing square root of 5
c A LaTex expression showing 5square root of 5
d A LaTex expression showing 7square root of 5
4
Add or subtract the radical expressions
A LaTex expression showing 2square root of 7 - 4square root of 7
a A LaTex expression showing square root of 9 - 7square root of 4
b A LaTex expression showing square root of 7
c A LaTex expression showing 2square root of 7 - 7square root of 3
d A LaTex expression showing 3square root of 7
e A LaTex expression showing -2square root of 7
5
Add or subtract the radical expressions
A LaTex expression showing 4square root of 11 + 3square root of 11
a A LaTex expression showing 3square root of 11
b A LaTex expression showing 5square root of 12
c A LaTex expression showing 7
d A LaTex expression showing 7square root of 11
e A LaTex expression showing square root of 11
6
Add or subtract the radical expressions
A LaTex expression showing 3square root of 5 - 4square root of 5
a A LaTex expression showing -2square root of 3
b A LaTex expression showing 6square root of 8 - square root of 4
c A LaTex expression showing 2square root of 5
d A LaTex expression showing square root of 5
e A LaTex expression showing -1square root of 5
7
Add or subtract the radical expressions
A LaTex expression showing 5square root of 5 - 4square root of 5
a A LaTex expression showing 4square root of 2 - square root of 3
b A LaTex expression showing 2square root of 4 - 2square root of 7
c A LaTex expression showing square root of 5
Radicals - Adding and Subtracting from Simplified (Values Only) (Level 3) - Mobius Math