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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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 87 - 6
a A LaTex expression showing 2
b A LaTex expression showing 43-th root of 6
c A LaTex expression showing 33-th root of 3
d A LaTex expression showing 1
e A LaTex expression showing 3
2
Simplify the radical.
A LaTex expression showing 3-th root of 106 - 25
a A LaTex expression showing 33-th root of 3
b A LaTex expression showing 5
c A LaTex expression showing 43-th root of 6
d A LaTex expression showing 53-th root of 3
e A LaTex expression showing 1
3
Simplify the radical.
A LaTex expression showing 3-th root of 61 + 67
a A LaTex expression showing 2
b A LaTex expression showing 53-th root of 3
c A LaTex expression showing 43-th root of 2
d A LaTex expression showing 73-th root of 2
e A LaTex expression showing 6
4
Simplify the radical.
A LaTex expression showing 3-th root of 914 - 210
a A LaTex expression showing 23-th root of 7
b A LaTex expression showing 43-th root of 11
c A LaTex expression showing 73-th root of 13
d A LaTex expression showing 43-th root of 10
e A LaTex expression showing 63-th root of 10
5
Simplify the radical.
A LaTex expression showing 3-th root of 560 + 144
a A LaTex expression showing 73-th root of 12
b A LaTex expression showing 43-th root of 13
c A LaTex expression showing 43-th root of 8
d A LaTex expression showing 43-th root of 11
e A LaTex expression showing 63-th root of 7
6
Simplify the radical.
A LaTex expression showing 3-th root of 15 + 25
a A LaTex expression showing 23-th root of 7
b A LaTex expression showing 3-th root of 6
c A LaTex expression showing 23-th root of 5
d A LaTex expression showing 43-th root of 7
e A LaTex expression showing 3-th root of 2
7
Simplify the radical.
A LaTex expression showing 3-th root of 100 - 19
a A LaTex expression showing 33-th root of 3
b A LaTex expression showing 53-th root of 3
c A LaTex expression showing 3-th root of 2
d A LaTex expression showing 3-th root of 3
e A LaTex expression showing 43-th root of 4