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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Radicals - Adding and Subtracting from Simplified (Values and Variables)
1
Add or subtract the radical expressions
A LaTex expression showing square root of 11 + 2square root of 11c
a A LaTex expression showing 4square root of 9 + square root of 8c
b A LaTex expression showing 2square root of 7 + square root of 9{c to the power of 3 }
c A LaTex expression showing 4square root of 13 + 2square root of 9c
d A LaTex expression showing square root of 11 + 2square root of 11c
2
Add or subtract the radical expressions
A LaTex expression showing 4{x} to the power of 2 square root of 5 + xsquare root of 5x
a A LaTex expression showing 6xsquare root of 3 + xsquare root of 8{x to the power of 2 }
b A LaTex expression showing 4{x} to the power of 2 square root of 5 + xsquare root of 5x
c A LaTex expression showing 3{x} to the power of 4 square root of 2 + 4xsquare root of 2{x to the power of 3 }
3
Add or subtract the radical expressions
A LaTex expression showing 3psquare root of 2p + {p} to the power of 2 square root of 2
a A LaTex expression showing 4psquare root of p + p
b A LaTex expression showing 3psquare root of 2p + {p} to the power of 2 square root of 2
c A LaTex expression showing psquare root of p + psquare root of 4
d A LaTex expression showing {p} to the power of 2 square root of p + {p} to the power of 2
4
Add or subtract the radical expressions
A LaTex expression showing 2{m} to the power of 2 square root of 11 - {m} to the power of 2 square root of 11
a A LaTex expression showing {m} to the power of 4 square root of 11
b A LaTex expression showing {m} to the power of 2 square root of 11
c A LaTex expression showing 5{m} to the power of 2 square root of 11
d A LaTex expression showing 3{m} to the power of 2 square root of 11
5
Add or subtract the radical expressions
A LaTex expression showing 3ysquare root of 5y - {y} to the power of 2 square root of 5
a A LaTex expression showing 3ysquare root of 5{y to the power of 2 } - 3{y} to the power of 2 square root of 8
b A LaTex expression showing 2{y} to the power of 3 square root of 7{y to the power of 3 } - 2{y} to the power of 2 square root of 5
c A LaTex expression showing 2ysquare root of 8y - 4{y} to the power of 3
d A LaTex expression showing 3ysquare root of 5y - {y} to the power of 2 square root of 5
6
Add or subtract the radical expressions
A LaTex expression showing 3nsquare root of 11 + {n} to the power of 2 square root of 11
a A LaTex expression showing 4{n} to the power of 2 square root of 14 + {n} to the power of 3 square root of 10
b A LaTex expression showing 4nsquare root of 7 + 3{n} to the power of 4 square root of 14
c A LaTex expression showing 3nsquare root of 11 + {n} to the power of 2 square root of 11
d A LaTex expression showing 6nsquare root of 12 + nsquare root of 14
7
Add or subtract the radical expressions
A LaTex expression showing psquare root of 7p - 4psquare root of 7p
a A LaTex expression showing -3square root of 7p
b A LaTex expression showing 2psquare root of 7p
c A LaTex expression showing -3{p} to the power of 2 square root of 7p
d A LaTex expression showing -3psquare root of 7p
e A LaTex expression showing -3{p} to the power of 3 square root of 7p
8
Add or subtract the radical expressions
A LaTex expression showing 3{c} to the power of 2 square root of 2 + {c} to the power of 2 square root of 2
a A LaTex expression showing 5{c} to the power of 2 + csquare root of 2
b A LaTex expression showing 4{c} to the power of 3 square root of 2
c A LaTex expression showing {c} to the power of 2 square root of 5 + 2{c} to the power of 3
d A LaTex expression showing 4{c} to the power of 2 square root of 2
e A LaTex expression showing {c} to the power of 2 square root of 2