Adding and Subtracting (Values Only) (Level 4)

This math topic focuses on practicing skills in adding and subtracting radicals, both square roots and cube roots. Problems involve simplifying radical expressions before performing addition or subtraction, requiring students to understand both the concept of radical simplification and basic arithmetic operations with radicals. The topic blends these concepts to deepen understanding and improve algebraic manipulation skills involving radicals.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

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Radicals - Adding and Subtracting (Values Only) Worksheet

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Radicals - Adding and Subtracting (Values Only)
1
Simplify, then add or subtract the radical expressions
A LaTex expression showing 3-th root of 24 + 3-th root of 81 + 3-th root of 24
a A LaTex expression showing 53-th root of 3 + 23-th root of 3
b A LaTex expression showing 5 + 23-th root of 3
c A LaTex expression showing 43-th root of 3 + 23-th root of 3
d A LaTex expression showing 23-th root of 3 + 23-th root of 3
e A LaTex expression showing 3-th root of 3 + 23-th root of 3
2
Simplify, then add or subtract the radical expressions
A LaTex expression showing 3-th root of 320 - 3-th root of 135 - 3-th root of 135
a A LaTex expression showing 43-th root of 5 - 33-th root of 5
b A LaTex expression showing 3-th root of 5 - 33-th root of 5
c A LaTex expression showing 53-th root of 5 - 33-th root of 5
d A LaTex expression showing 33-th root of 5 - 33-th root of 5
3
Simplify, then add or subtract the radical expressions
A LaTex expression showing 3-th root of 192 + 3-th root of 81 + 3-th root of 24
a A LaTex expression showing 73-th root of 3 + 23-th root of 3
b A LaTex expression showing 63-th root of 4 + 1
c A LaTex expression showing 3-th root of 3 + 23-th root of 3
d A LaTex expression showing 7 + 23-th root of 3
e A LaTex expression showing 8 + 3-th root of 5
4
Simplify, then add or subtract the radical expressions
A LaTex expression showing 3-th root of 81 - 3-th root of 24 + 3-th root of 81
a A LaTex expression showing 5 - 43-th root of 4 + 33-th root of 2
b A LaTex expression showing 23-th root of 3 - 33-th root of 3
c A LaTex expression showing 3-th root of 3 - 33-th root of 3
d A LaTex expression showing 33-th root of 3 - 33-th root of 3
5
Simplify, then add or subtract the radical expressions
A LaTex expression showing 3-th root of 81 - 3-th root of 192 - 3-th root of 24
a A LaTex expression showing 2 - 3-th root of 4
b A LaTex expression showing 3-th root of 3 - 23-th root of 3
c A LaTex expression showing 43-th root of 3 - 23-th root of 3
d A LaTex expression showing -13-th root of 3 - 23-th root of 3
6
Simplify, then add or subtract the radical expressions
A LaTex expression showing 3-th root of 704 + 3-th root of 88 + 3-th root of 704
a A LaTex expression showing 23-th root of 9 + 3-th root of 10 + 73-th root of 11
b A LaTex expression showing 3-th root of 11 + 43-th root of 11
c A LaTex expression showing 83-th root of 9 + 53-th root of 13
d A LaTex expression showing 6 + 43-th root of 11
e A LaTex expression showing 63-th root of 11 + 43-th root of 11
7
Simplify, then add or subtract the radical expressions
A LaTex expression showing 3-th root of 16 - 3-th root of 54 + 3-th root of 128
a A LaTex expression showing 33-th root of 2 - 43-th root of 2
b A LaTex expression showing 3-th root of 2 - 43-th root of 2
c A LaTex expression showing -13-th root of 3 - 43-th root of 2
d A LaTex expression showing 3-th root of 5 - 2
e A LaTex expression showing -13-th root of 2 - 43-th root of 2
8
Simplify, then add or subtract the radical expressions
A LaTex expression showing square root of 275 + square root of 44 + square root of 176
a A LaTex expression showing 13square root of 10 + 4square root of 13
b A LaTex expression showing 3square root of 11 + 4square root of 11
c A LaTex expression showing square root of 11 + 4square root of 11
d A LaTex expression showing 7square root of 11 + 4square root of 11