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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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 nsquare root of 11 - 5square root of 11
a A LaTex expression showing {n} to the power of 2 square root of 10 - 5square root of 8
b A LaTex expression showing {n} to the power of 3 square root of 7 - 7square root of 9
c A LaTex expression showing nsquare root of 11 - 5square root of 11
2
Add or subtract the radical expressions
A LaTex expression showing 4ysquare root of 11 + square root of 11
a A LaTex expression showing 6{y} to the power of 3 square root of 11 + square root of 8
b A LaTex expression showing 4ysquare root of 11 + square root of 11
c A LaTex expression showing 4ysquare root of 10 + 2square root of 9
3
Add or subtract the radical expressions
A LaTex expression showing {x} to the power of 2 square root of 2 - 2xsquare root of 2
a A LaTex expression showing {x} to the power of 2 square root of 2 - 2xsquare root of 2
b A LaTex expression showing xsquare root of 2 - {x} to the power of 2 square root of 4
c A LaTex expression showing 2xsquare root of 2 - 5{x} to the power of 2 square root of 3
d A LaTex expression showing {x} to the power of 2 square root of 5 - xsquare root of 4
4
Add or subtract the radical expressions
A LaTex expression showing square root of 5n - 3square root of 5n
a A LaTex expression showing square root of 5n
b A LaTex expression showing 3square root of 8n - square root of 6n
c A LaTex expression showing -2square root of 5n
d A LaTex expression showing 2square root of 6{n to the power of 3 } - square root of 5n
5
Add or subtract the radical expressions
A LaTex expression showing square root of 5d + 2{d} to the power of 2 square root of 5
a A LaTex expression showing square root of 5d + 2{d} to the power of 2 square root of 5
b A LaTex expression showing 2square root of 8{d to the power of 2 } + {d} to the power of 3 square root of 6
c A LaTex expression showing 3square root of d + 3{d} to the power of 2 square root of 8
d A LaTex expression showing 2square root of 2{d to the power of 3 } + {d} to the power of 4 square root of 8
e A LaTex expression showing 4square root of 6d + 2d
6
Add or subtract the radical expressions
A LaTex expression showing square root of 7p - 3square root of 7p
a A LaTex expression showing -2square root of 7p
b A LaTex expression showing 2square root of 7p
c A LaTex expression showing 3square root of 8{p to the power of 2 } - 5square root of 4{p to the power of 3 }
d A LaTex expression showing -2square root of 7{p to the power of -1 }
7
Add or subtract the radical expressions
A LaTex expression showing nsquare root of 11n + 2{n} to the power of 2 square root of 11
a A LaTex expression showing nsquare root of 11n + 2{n} to the power of 2 square root of 11
b A LaTex expression showing 3nsquare root of 14n + 3{n} to the power of 4 square root of 13
c A LaTex expression showing {n} to the power of 2 square root of 10n + nsquare root of 13
Radicals - Adding and Subtracting from Simplified (Values and Variables) (Level 2) - Mobius Math