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Radicals

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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Math worksheet on 'Radicals - Adding and Subtracting (Values Only) (Level 4)'. Part of a broader unit on 'Radicals - Addition and Subtraction Intro' Learn online: app.mobius.academy/math/units/radicals_addition_and_subtraction_intro/
1
Simplify, then add or subtract the radical expressions
A LaTex expression showing 3-th root of 192 - 3-th root of 192 + 3-th root of 24
a A LaTex expression showing 23-th root of 3
b A LaTex expression showing 3-th root of 2 - 3
c A LaTex expression showing 3-th root of 6 - 6 + 23-th root of 4
d A LaTex expression showing 3-th root of 3 - 23-th root of 3
e A LaTex expression showing 2 - 73-th root of 2 + 23-th root of 5
2
Simplify, then add or subtract the radical expressions
A LaTex expression showing 3-th root of 448 - 3-th root of 189 - 3-th root of 189
a A LaTex expression showing 3-th root of 7 - 33-th root of 7
b A LaTex expression showing 3-th root of 7 - 3-th root of 9 - 43-th root of 10
c A LaTex expression showing 1 - 33-th root of 7
d A LaTex expression showing 23-th root of 7 - 33-th root of 7
3
Simplify, then add or subtract the radical expressions
A LaTex expression showing square root of 32 - square root of 32 - square root of 18
a A LaTex expression showing square root of 2 - 3square root of 2
b A LaTex expression showing 3square root of 2
c A LaTex expression showing 7square root of 3 - 4
d A LaTex expression showing 2square root of 5 - square root of 2
4
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 -13-th root of 3 - 23-th root of 3
b A LaTex expression showing 43-th root of 3 - 23-th root of 3
c A LaTex expression showing 2 - 3-th root of 4
d A LaTex expression showing 3-th root of 3 - 23-th root of 3
5
Simplify, then add or subtract the radical expressions
A LaTex expression showing 3-th root of 56 - 3-th root of 448 + 3-th root of 189
a A LaTex expression showing 53-th root of 7 - 33-th root of 7
b A LaTex expression showing 83-th root of 10 - 43-th root of 9
c A LaTex expression showing -23-th root of 4 - 33-th root of 7
d A LaTex expression showing -23-th root of 7 - 33-th root of 7
e A LaTex expression showing -2 - 33-th root of 7
6
Simplify, then add or subtract the radical expressions
A LaTex expression showing 3-th root of 192 - 3-th root of 24 - 3-th root of 192
a A LaTex expression showing 3-th root of 3 - 43-th root of 3
b A LaTex expression showing 23-th root of 3 - 43-th root of 3
c A LaTex expression showing 33-th root of 3 - 43-th root of 3
d A LaTex expression showing 2 - 43-th root of 3
7
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 192
a A LaTex expression showing 43-th root of 5 + 1
b A LaTex expression showing 7 + 43-th root of 3
c A LaTex expression showing 3-th root of 3 + 43-th root of 3
d A LaTex expression showing 73-th root of 3 + 43-th root of 3
Radicals - Adding and Subtracting (Values Only) (Level 4) - Mobius Math Academy