Addition Under Cubed Radical Plus Integer to Integer (Level 1)

This topic focuses on practicing simplification of radicals, specifically involving the addition of integers to expressions under cubed roots. Each problem tasks the student with simplifying an expression that combines a plain integer and a cubed root of an algebraic sum. Multiple choice answers are provided to select from, emphasizing the application of simplifying radical terms with integers to reach the simplest form for each given radical expression. The topic includes examples and problems to reinforce understanding of radicals and their properties in mathematical expressions.

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

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Radicals - Addition Under Cubed Radical Plus Integer to Integer Worksheet

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Math worksheet on 'Radicals - Addition Under Cubed Radical Plus Integer to Integer (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 4 + 3-th root of 69 - 5
a A LaTex expression showing 4 + 3-th root of 5
b A LaTex expression showing 10
c A LaTex expression showing 4 + 3-th root of 2
d A LaTex expression showing 8
e A LaTex expression showing 4 + 3-th root of 3
2
Simplify the radical.
A LaTex expression showing 3 + 3-th root of 29 - 2
a A LaTex expression showing 6
b A LaTex expression showing 3 + 3-th root of 3
c A LaTex expression showing 11
d A LaTex expression showing 8
e A LaTex expression showing 3 + 3-th root of 5
3
Simplify the radical.
A LaTex expression showing 1 + 3-th root of 81 - 17
a A LaTex expression showing 9
b A LaTex expression showing 4
c A LaTex expression showing 5
d A LaTex expression showing 1 + 3-th root of 4
e A LaTex expression showing 1 + 3-th root of 3
4
Simplify the radical.
A LaTex expression showing 3 + 3-th root of 4 + 4
a A LaTex expression showing 6
b A LaTex expression showing 5
c A LaTex expression showing 3 + 3-th root of 2
d A LaTex expression showing 9
e A LaTex expression showing 3 + 3-th root of 3
5
Simplify the radical.
A LaTex expression showing 4 + 3-th root of 10 + 17
a A LaTex expression showing 4 + 3-th root of 5
b A LaTex expression showing 4 + 3-th root of 2
c A LaTex expression showing 2
d A LaTex expression showing 4 + 3-th root of 3
e A LaTex expression showing 7
6
Simplify the radical.
A LaTex expression showing 3 + 3-th root of 26 + 38
a A LaTex expression showing 3 + 3-th root of 5
b A LaTex expression showing 7
c A LaTex expression showing 6
d A LaTex expression showing 3 + 3-th root of 4
e A LaTex expression showing 3 + 3-th root of 2
7
Simplify the radical.
A LaTex expression showing 1 + 3-th root of 9 - 1
a A LaTex expression showing 4
b A LaTex expression showing 10
c A LaTex expression showing 1 + 3-th root of 3
d A LaTex expression showing 1 + 3-th root of 4
e A LaTex expression showing 3