Addition Under Cubed Radical Plus Integer to Integer (Level 2)

This math topic focuses on practicing the simplification of radicals involving the addition of integers and cube roots (3rd roots). Learners engage with problems where they need to simplify expressions that combine integers and cube roots of various terms, to enhance their understanding and skills in manipulating and simplifying radical expressions. This set of problems is structured to help in mastering the manipulation of cube roots and in combining them with integers to arrive at more simplified or exact forms.

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 2)'. Part of a broader unit on 'Radicals - Simplifying Advanced' Learn online: app.mobius.academy/math/units/radicals_simplifying_advanced/
1
Simplify the radical.
A LaTex expression showing 2 + 3-th root of 242 - 26
a A LaTex expression showing 8
b A LaTex expression showing 7
c A LaTex expression showing 2 + 3-th root of 4
d A LaTex expression showing 2 + 3-th root of 3
2
Simplify the radical.
A LaTex expression showing 1 + 3-th root of 270 - 54
a A LaTex expression showing 8
b A LaTex expression showing 10
c A LaTex expression showing 7
d A LaTex expression showing 1 + 3-th root of 3
e A LaTex expression showing 1 + 3-th root of 4
3
Simplify the radical.
A LaTex expression showing 1 + 3-th root of 274 - 58
a A LaTex expression showing 9
b A LaTex expression showing 1 + 3-th root of 2
c A LaTex expression showing 4
d A LaTex expression showing 7
e A LaTex expression showing 1 + 3-th root of 4
4
Simplify the radical.
A LaTex expression showing 4 + 3-th root of 66 - 2
a A LaTex expression showing 4 + 3-th root of 3
b A LaTex expression showing 4 + 3-th root of 5
c A LaTex expression showing 4 + 3-th root of 2
d A LaTex expression showing 9
e A LaTex expression showing 8
5
Simplify the radical.
A LaTex expression showing 3 + 3-th root of 4 + 23
a A LaTex expression showing 6
b A LaTex expression showing 2
c A LaTex expression showing 3 + 3-th root of 5
d A LaTex expression showing 3
e A LaTex expression showing 3 + 3-th root of 3
6
Simplify the radical.
A LaTex expression showing 1 + 3-th root of 234 - 18
a A LaTex expression showing 3
b A LaTex expression showing 7
c A LaTex expression showing 1 + 3-th root of 4
d A LaTex expression showing 1 + 3-th root of 3
e A LaTex expression showing 6
7
Simplify the radical.
A LaTex expression showing 1 + 3-th root of 93 + 123
a A LaTex expression showing 8
b A LaTex expression showing 1 + 3-th root of 5
c A LaTex expression showing 1 + 3-th root of 2
d A LaTex expression showing 1 + 3-th root of 3
e A LaTex expression showing 7