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

This math topic focuses on practicing the addition and subtraction of simplified radical expressions, involving both numerical values and variables. The tasks are structured into several questions, each prompting to either add or subtract given sets of radical expressions. The expressions include those with coefficients, different powers of variables, and pertain to various degrees of complexity, emphasizing a thorough understanding and manipulation of radicals within algebraic contexts.

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 and Variables)

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


Add or subtract the radical expressions

3c5c−53c\sqrt{5c} - \sqrt{5}

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

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Math worksheet on 'Radicals - Adding and Subtracting from Simplified (Values and Variables) (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 3{m} to the power of 2 square root of 3 - {m} to the power of 2 square root of 3
a A LaTex expression showing {m} to the power of 4 square root of 2 - 3{m} to the power of 3 square root of 6
b A LaTex expression showing 5{m} to the power of 4 square root of 3 - m
c A LaTex expression showing 4{m} to the power of 2 - 3m
d A LaTex expression showing {m} to the power of 4 square root of 2 - 3msquare root of 3
e A LaTex expression showing {m} to the power of 2 square root of 3
f A LaTex expression showing 2{m} to the power of 2 square root of 3
2
Add or subtract the radical expressions
A LaTex expression showing 4csquare root of 3 - {c} to the power of 2 square root of 3
a A LaTex expression showing 3{c} to the power of 2 - 3csquare root of 2
b A LaTex expression showing 6csquare root of 3 - {c} to the power of 3 square root of 5
c A LaTex expression showing 4csquare root of 3 - {c} to the power of 2 square root of 3
d A LaTex expression showing 2csquare root of 6 - 4csquare root of 2
e A LaTex expression showing 2{c} to the power of 2 square root of 5 - csquare root of 2
f A LaTex expression showing 5{c} to the power of 2 square root of 3 - {c} to the power of 2
3
Add or subtract the radical expressions
A LaTex expression showing 3square root of 3 - xsquare root of 3
a A LaTex expression showing 3square root of 3 - xsquare root of 3
b A LaTex expression showing 2square root of 2 - {x} to the power of 3 square root of 6
c A LaTex expression showing 5square root of 3 - {x} to the power of 3
d A LaTex expression showing square root of 6 - 3xsquare root of 2
e A LaTex expression showing 6square root of 6 - 4xsquare root of 3
f A LaTex expression showing 3square root of 3 - 2{x} to the power of 3
4
Add or subtract the radical expressions
A LaTex expression showing 4square root of 3b - square root of 3
a A LaTex expression showing 3square root of 6{b to the power of 3 } - 1
b A LaTex expression showing 5square root of b - 1
c A LaTex expression showing 3square root of 6b - 1
d A LaTex expression showing 4square root of 5{b to the power of 2 } - 4square root of 3
e A LaTex expression showing 4square root of 3b - square root of 3
f A LaTex expression showing 6square root of 4b - square root of 6
5
Add or subtract the radical expressions
A LaTex expression showing 2square root of 3 + square root of 3c
a A LaTex expression showing square root of 2 + square root of c
b A LaTex expression showing square root of 6 + square root of 5c
c A LaTex expression showing 1 + square root of 2c
d A LaTex expression showing 2square root of 3 + square root of 3c
e A LaTex expression showing 1 + square root of 2{c to the power of 3 }
f A LaTex expression showing square root of 2 + square root of 3c
6
Add or subtract the radical expressions
A LaTex expression showing 4square root of 5z + zsquare root of 5z
a A LaTex expression showing 4square root of 5z + zsquare root of 5z
b A LaTex expression showing 4square root of {z to the power of 3 } + {z} to the power of 2 square root of 2z
c A LaTex expression showing square root of 8z + 3zsquare root of 6z
d A LaTex expression showing 4square root of 4z + 3zsquare root of 7{z to the power of 3 }
e A LaTex expression showing 2square root of 2z + 3zsquare root of 5z
f A LaTex expression showing 5square root of 7z + zsquare root of 3{z to the power of 3 }
7
Add or subtract the radical expressions
A LaTex expression showing 4zsquare root of 3 + {z} to the power of 2 square root of 3
a A LaTex expression showing {z} to the power of 2 + 3{z} to the power of 3 square root of 6
b A LaTex expression showing 4zsquare root of 3 + {z} to the power of 2 square root of 3
c A LaTex expression showing 3zsquare root of 6 + {z} to the power of 2 square root of 6
d A LaTex expression showing 7{z} to the power of 2 + zsquare root of 5
e A LaTex expression showing 2{z} to the power of 3 square root of 5 + 2z