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

3n23+n233{n}^{2}\sqrt{3} + {n}^{2}\sqrt{3}

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 msquare root of 7m - 2msquare root of 7m
a A LaTex expression showing -1msquare root of 7m
b A LaTex expression showing 5msquare root of 7m
c A LaTex expression showing msquare root of 5{m to the power of 2 } - msquare root of 9{m to the power of 3 }
d A LaTex expression showing -1{m} to the power of -1 square root of 7m
e A LaTex expression showing -1msquare root of 7{m to the power of 3 }
f A LaTex expression showing msquare root of 7m
2
Add or subtract the radical expressions
A LaTex expression showing psquare root of 7 - 4psquare root of 7
a A LaTex expression showing -3psquare root of 7
b A LaTex expression showing psquare root of 7
c A LaTex expression showing 2{p} to the power of 2 square root of 9 - 6{p} to the power of 2 square root of 8
d A LaTex expression showing -3{p} to the power of 2 square root of 7
e A LaTex expression showing 3{p} to the power of 3 square root of 7 - 3psquare root of 6
f A LaTex expression showing -3square root of 7
3
Add or subtract the radical expressions
A LaTex expression showing {c} to the power of 2 square root of 3 - 3{c} to the power of 2 square root of 3
a A LaTex expression showing {c} to the power of 2 square root of 3
b A LaTex expression showing -2{c} to the power of 2 square root of 3
c A LaTex expression showing 2c - 2{c} to the power of 3
d A LaTex expression showing -2{c} to the power of 2
e A LaTex expression showing -2csquare root of 3
f A LaTex expression showing -2square root of 3
4
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 2csquare root of 6 - 4csquare root of 2
b A LaTex expression showing 4csquare root of 3 - {c} to the power of 2 square root of 3
c A LaTex expression showing 5{c} to the power of 2 square root of 3 - {c} to the power of 2
d A LaTex expression showing 6csquare root of 3 - {c} to the power of 3 square root of 5
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 3{c} to the power of 2 - 3csquare root of 2
5
Add or subtract the radical expressions
A LaTex expression showing {d} to the power of 2 square root of 11 - 5dsquare root of 11d
a A LaTex expression showing 3{d} to the power of 2 square root of 10 - 2dsquare root of 11{d to the power of 3 }
b A LaTex expression showing 4dsquare root of 11 - 7dsquare root of 11d
c A LaTex expression showing {d} to the power of 3 square root of 11 - 6dsquare root of 9d
d A LaTex expression showing 3dsquare root of 8 - dsquare root of 10d
e A LaTex expression showing {d} to the power of 2 square root of 11 - 5dsquare root of 11d
f A LaTex expression showing dsquare root of 11 - 2{d} to the power of 3 square root of 11d
6
Add or subtract the radical expressions
A LaTex expression showing 2csquare root of 3 - {c} to the power of 2 square root of 3
a A LaTex expression showing csquare root of 5 - c
b A LaTex expression showing 2csquare root of 3 - {c} to the power of 2 square root of 3
c A LaTex expression showing 2csquare root of 6 - 3{c} to the power of 2
d A LaTex expression showing csquare root of 6 - csquare root of 5
e A LaTex expression showing {c} to the power of 3 square root of 3 - csquare root of 3
f A LaTex expression showing csquare root of 4 - 3{c} to the power of 3 square root of 6
7
Add or subtract the radical expressions
A LaTex expression showing 4square root of 3b - square root of 3
a A LaTex expression showing 4square root of 5{b to the power of 2 } - 4square root of 3
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 6square root of 4b - square root of 6
e A LaTex expression showing 3square root of 6{b to the power of 3 } - 1
f A LaTex expression showing 4square root of 3b - square root of 3