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Radicals - Adding and Subtracting from Simplified (Values Only) (Level 2)

This math topic focuses on practicing the addition and subtraction of simplified radical expressions, using only numeric values under the radicals. It primarily aims to enhance skills in combining like radical terms and simplifying the results. Each question presents a problem for combining radical expressions with prompts to choose the correct simplified form from multiple options. The problems cover a variety of radicals, ensuring that students become proficient at recognizing and simplifying expressions involving square roots and their coefficients.

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

411+114\sqrt{11} + \sqrt{11}

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 2)'. 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 square root of 5 + 2square root of 5
a A LaTex expression showing 3square root of 5
b A LaTex expression showing 2square root of 5
c A LaTex expression showing 4square root of 4 + square root of 8
d A LaTex expression showing 2square root of 2 + square root of 3
e A LaTex expression showing square root of 7 + 1
f A LaTex expression showing square root of 5
2
Add or subtract the radical expressions
A LaTex expression showing square root of 3 + 5square root of 3
a A LaTex expression showing square root of 3 + 5square root of 2
b A LaTex expression showing square root of 3
c A LaTex expression showing 4square root of 3 + 7square root of 4
d A LaTex expression showing 6square root of 3
e A LaTex expression showing square root of 3 + square root of 2
f A LaTex expression showing 6
3
Add or subtract the radical expressions
A LaTex expression showing 3square root of 5 - square root of 5
a A LaTex expression showing square root of 7
b A LaTex expression showing 4square root of 8 - square root of 4
c A LaTex expression showing square root of 8 - 1
d A LaTex expression showing 2square root of 5
e A LaTex expression showing square root of 5
f A LaTex expression showing 2
4
Add or subtract the radical expressions
A LaTex expression showing 2square root of 2 - square root of 2
a A LaTex expression showing square root of 5 - 1
b A LaTex expression showing 4square root of 2
c A LaTex expression showing 2
d A LaTex expression showing 2square root of 2
e A LaTex expression showing 2square root of 5 - 2
f A LaTex expression showing square root of 2
5
Add or subtract the radical expressions
A LaTex expression showing square root of 3 + 2square root of 3
a A LaTex expression showing 3square root of 3
b A LaTex expression showing 4square root of 3
c A LaTex expression showing square root of 6 + 4square root of 5
d A LaTex expression showing square root of 3
e A LaTex expression showing 2square root of 3
f A LaTex expression showing 3
6
Add or subtract the radical expressions
A LaTex expression showing 3square root of 11 - square root of 11
a A LaTex expression showing 3square root of 11
b A LaTex expression showing 2
c A LaTex expression showing 2square root of 11
d A LaTex expression showing square root of 11
e A LaTex expression showing 2square root of 2
f A LaTex expression showing 2square root of 4
7
Add or subtract the radical expressions
A LaTex expression showing 4square root of 3 + square root of 3
a A LaTex expression showing 5 + square root of 4
b A LaTex expression showing 5square root of 3
c A LaTex expression showing 7square root of 3
d A LaTex expression showing 4square root of 3 + 1
e A LaTex expression showing 5square root of 5 + 2
f A LaTex expression showing square root of 3