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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Radicals - Addition Under Cubed Radical Plus Integer to Integer
1
Simplify the radical.
A LaTex expression showing 1 + 3-th root of 234 - 18
a A LaTex expression showing 1 + 3-th root of 4
b A LaTex expression showing 1 + 3-th root of 3
c A LaTex expression showing 7
d A LaTex expression showing 3
e A LaTex expression showing 6
2
Simplify the radical.
A LaTex expression showing 2 + 3-th root of 143 - 18
a A LaTex expression showing 2 + 3-th root of 2
b A LaTex expression showing 2 + 3-th root of 4
c A LaTex expression showing 10
d A LaTex expression showing 7
e A LaTex expression showing 8
3
Simplify the radical.
A LaTex expression showing 4 + 3-th root of 223 - 7
a A LaTex expression showing 10
b A LaTex expression showing 4 + 3-th root of 3
c A LaTex expression showing 8
d A LaTex expression showing 4 + 3-th root of 4
e A LaTex expression showing 4 + 3-th root of 5
4
Simplify the radical.
A LaTex expression showing 3 + 3-th root of 1 + 124
a A LaTex expression showing 6
b A LaTex expression showing 8
c A LaTex expression showing 9
d A LaTex expression showing 3 + 3-th root of 2
e A LaTex expression showing 3 + 3-th root of 4
5
Simplify the radical.
A LaTex expression showing 1 + 3-th root of 20 + 7
a A LaTex expression showing 3
b A LaTex expression showing 2
c A LaTex expression showing 1 + 3-th root of 4
d A LaTex expression showing 4
e A LaTex expression showing 1 + 3-th root of 5
6
Simplify the radical.
A LaTex expression showing 4 + 3-th root of 149 - 24
a A LaTex expression showing 4 + 3-th root of 2
b A LaTex expression showing 4 + 3-th root of 4
c A LaTex expression showing 9
d A LaTex expression showing 11
e A LaTex expression showing 4 + 3-th root of 5
7
Simplify the radical.
A LaTex expression showing 3 + 3-th root of 135 - 10
a A LaTex expression showing 3 + 3-th root of 3
b A LaTex expression showing 10
c A LaTex expression showing 8
d A LaTex expression showing 3 + 3-th root of 5
e A LaTex expression showing 3 + 3-th root of 2
8
Simplify the radical.
A LaTex expression showing 2 + 3-th root of 155 - 30
a A LaTex expression showing 10
b A LaTex expression showing 2 + 3-th root of 3
c A LaTex expression showing 7
d A LaTex expression showing 2 + 3-th root of 2
e A LaTex expression showing 9