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Radicals - Addition Under Cubed Radical to Radical (Level 1)

This math topic involves simplifying expressions under a cubed root. These problems teach students how to simplify cubed radicals that include addition or subtraction operations within the radical before extracting the root. Each problem is structured to help learners understand the process of radical simplification and prepares them for more complex operations involving radicals. This set of exercises is part of a broader unit focused on radicals and their simplification.

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

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Addition Under Cubed Radical to Radical

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

Simplify the radical.

35+213\sqrt[3]{35 + 21}

Radicals - Addition Under Cubed Radical to Radical Worksheet

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Math worksheet on 'Radicals - Addition Under Cubed Radical to Radical (Level 1)'. Part of a broader unit on 'Radicals - Simplifying Practice' Learn online: app.mobius.academy/math/units/radicals_simplifying_practice/
1
Simplify the radical.
A LaTex expression showing 3-th root of 57 - 3
a A LaTex expression showing 2
b A LaTex expression showing 5
c A LaTex expression showing 33-th root of 2
d A LaTex expression showing 43-th root of 2
e A LaTex expression showing 53-th root of 4
f A LaTex expression showing 1
2
Simplify the radical.
A LaTex expression showing 3-th root of 139 + 158
a A LaTex expression showing 3-th root of 12
b A LaTex expression showing 3-th root of 11
c A LaTex expression showing 43-th root of 13
d A LaTex expression showing 33-th root of 11
e A LaTex expression showing 33-th root of 7
f A LaTex expression showing 63-th root of 8
3
Simplify the radical.
A LaTex expression showing 3-th root of 11 + 5
a A LaTex expression showing 2
b A LaTex expression showing 23-th root of 2
c A LaTex expression showing 53-th root of 4
d A LaTex expression showing 43-th root of 5
e A LaTex expression showing 3-th root of 4
f A LaTex expression showing 1
4
Simplify the radical.
A LaTex expression showing 3-th root of 65 - 11
a A LaTex expression showing 2
b A LaTex expression showing 23-th root of 3
c A LaTex expression showing 3-th root of 3
d A LaTex expression showing 33-th root of 2
e A LaTex expression showing 5
f A LaTex expression showing 6
5
Simplify the radical.
A LaTex expression showing 3-th root of 145 - 10
a A LaTex expression showing 63-th root of 4
b A LaTex expression showing 3-th root of 4
c A LaTex expression showing 3-th root of 3
d A LaTex expression showing 2
e A LaTex expression showing 33-th root of 5
f A LaTex expression showing 43-th root of 4
6
Simplify the radical.
A LaTex expression showing 3-th root of 314 - 17
a A LaTex expression showing 33-th root of 7
b A LaTex expression showing 33-th root of 13
c A LaTex expression showing 33-th root of 11
d A LaTex expression showing 23-th root of 11
e A LaTex expression showing 3-th root of 8
f A LaTex expression showing 53-th root of 7
7
Simplify the radical.
A LaTex expression showing 3-th root of 375 - 55
a A LaTex expression showing 43-th root of 5
b A LaTex expression showing 73-th root of 8
c A LaTex expression showing 63-th root of 5
d A LaTex expression showing 33-th root of 7
e A LaTex expression showing 43-th root of 3
f A LaTex expression showing 63-th root of 2