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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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Adding and Subtracting (Values Only)

Complete these online problems with 80% or 4 correct answers in a row. Results are immediate.


Simplify, then add or subtract the radical expressions

1893−4483−1893\sqrt[3]{189} - \sqrt[3]{448} - \sqrt[3]{189}

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 square root of 20 - square root of 45 + square root of 20
a A LaTex expression showing square root of 5 - 2square root of 5
b A LaTex expression showing 4square root of 5 - 2square root of 5
c A LaTex expression showing -1square root of 5 - 2square root of 5
d A LaTex expression showing square root of 5 - 6square root of 3 + square root of 8
e A LaTex expression showing 1 - square root of 5 + 4square root of 2
f A LaTex expression showing 3square root of 6 - 6square root of 2 + 5square root of 4
2
Simplify, then add or subtract the radical expressions
A LaTex expression showing square root of 8 - square root of 32 + square root of 8
a A LaTex expression showing -2square root of 2 - 2square root of 2
b A LaTex expression showing 2square root of 5 - 5square root of 2 + square root of 3
c A LaTex expression showing square root of 2 - 2square root of 2
d A LaTex expression showing -2 - 2square root of 2
e A LaTex expression showing 2square root of 2 - 2square root of 2
f A LaTex expression showing 4square root of 2 - 2square root of 2
3
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 63-th root of 11 + 43-th root of 11
b A LaTex expression showing 23-th root of 7 + 3-th root of 10
c A LaTex expression showing 33-th root of 9 + 3-th root of 11 + 3-th root of 8
d A LaTex expression showing 23-th root of 11 + 43-th root of 11
e A LaTex expression showing 63-th root of 3 + 43-th root of 11
f A LaTex expression showing 6 + 43-th root of 11
4
Simplify, then add or subtract the radical expressions
A LaTex expression showing 3-th root of 189 - 3-th root of 448 - 3-th root of 189
a A LaTex expression showing -13-th root of 7 - 33-th root of 7
b A LaTex expression showing -1 - 33-th root of 7
c A LaTex expression showing 63-th root of 5 - 3-th root of 9 - 3-th root of 10
d A LaTex expression showing 53-th root of 7 - 33-th root of 7
e A LaTex expression showing 3-th root of 7 - 33-th root of 7
f A LaTex expression showing 53-th root of 8
5
Simplify, then add or subtract the radical expressions
A LaTex expression showing 3-th root of 128 - 3-th root of 54 + 3-th root of 16
a A LaTex expression showing 3-th root of 2 - 23-th root of 2
b A LaTex expression showing -2 - 23-th root of 2
c A LaTex expression showing -1 - 4
d A LaTex expression showing 23-th root of 5 - 1 + 3-th root of 3
e A LaTex expression showing 1 - 23-th root of 2
f A LaTex expression showing 53-th root of 2 - 23-th root of 2
6
Simplify, then add or subtract the radical expressions
A LaTex expression showing 3-th root of 88 + 3-th root of 297 - 3-th root of 704
a A LaTex expression showing 53-th root of 11 + 43-th root of 11
b A LaTex expression showing 5 + 43-th root of 11
c A LaTex expression showing 103-th root of 12 + 73-th root of 11
d A LaTex expression showing 53-th root of 3 + 43-th root of 11
e A LaTex expression showing 43-th root of 11 + 43-th root of 11
f A LaTex expression showing 3-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 189 + 3-th root of 189 - 3-th root of 56
a A LaTex expression showing 43-th root of 9 + 53-th root of 10 - 23-th root of 7
b A LaTex expression showing 53-th root of 7 + 23-th root of 7
c A LaTex expression showing 23-th root of 9 + 3-th root of 7 - 3-th root of 4
d A LaTex expression showing 3-th root of 7 + 23-th root of 7
e A LaTex expression showing 63-th root of 7 + 23-th root of 7
f A LaTex expression showing 33-th root of 7 + 23-th root of 7