Addition Under Cubed Radical Times Integer To Integer (Level 2)

This math topic focuses on simplifying radicals involving the addition or subtraction of numbers under varied nth roots and then multiplying the result by integers. The problems specifically involve evaluating cubed roots and other higher nth roots for exact results or reducing them to simpler radical forms. Each question presents an expression under a radical sign, which must be simplified, and multiple choice answers are offered, each representing a different level of simplification of the radical expression. The topic is part of a broader unit on radical simplification practices.

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

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Radicals - Addition Under Cubed Radical Times Integer To Integer Worksheet

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Radicals - Addition Under Cubed Radical Times Integer To Integer
1
Simplify the radical.
A LaTex expression showing 43-th root of 136 - 11
a A LaTex expression showing 19
b A LaTex expression showing 173-th root of 3
c A LaTex expression showing 17
d A LaTex expression showing 20
e A LaTex expression showing 213-th root of 3
2
Simplify the radical.
A LaTex expression showing 23-th root of 74 - 10
a A LaTex expression showing 63-th root of 4
b A LaTex expression showing 8
c A LaTex expression showing 4
d A LaTex expression showing 113-th root of 2
e A LaTex expression showing 6
3
Simplify the radical.
A LaTex expression showing 33-th root of 2 + 6
a A LaTex expression showing 6
b A LaTex expression showing 2
c A LaTex expression showing 43-th root of 2
d A LaTex expression showing 53-th root of 4
4
Simplify the radical.
A LaTex expression showing 53-th root of 22 + 5
a A LaTex expression showing 15
b A LaTex expression showing 153-th root of 3
c A LaTex expression showing 12
d A LaTex expression showing 133-th root of 3
e A LaTex expression showing 183-th root of 4
5
Simplify the radical.
A LaTex expression showing 53-th root of 233 - 17
a A LaTex expression showing 33
b A LaTex expression showing 273-th root of 4
c A LaTex expression showing 30
d A LaTex expression showing 313-th root of 4
e A LaTex expression showing 323-th root of 3
6
Simplify the radical.
A LaTex expression showing 33-th root of 20 + 7
a A LaTex expression showing 73-th root of 4
b A LaTex expression showing 123-th root of 4
c A LaTex expression showing 113-th root of 2
d A LaTex expression showing 103-th root of 4
e A LaTex expression showing 9
7
Simplify the radical.
A LaTex expression showing 23-th root of 29 - 2
a A LaTex expression showing 33-th root of 4
b A LaTex expression showing 63-th root of 2
c A LaTex expression showing 6
d A LaTex expression showing 63-th root of 4
e A LaTex expression showing 7
8
Simplify the radical.
A LaTex expression showing 53-th root of 78 + 47
a A LaTex expression showing 26
b A LaTex expression showing 25
c A LaTex expression showing 27
d A LaTex expression showing 28