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

This math topic focuses on simplifying radicals that involve adding and subtracting integers within the radicand, particularly with cube roots. The problems involve determining and simplifying expressions under a cube root, mixed with simple arithmetical operations (addition and subtraction). Each question includes an expression with radicals that needs to be simplified to one of multiple possible answers, enhancing students' skills in handling and simplifying expressions involving cube roots and basic integer operations.

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 Radical Worksheet

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Radicals - Addition Under Cubed Radical Plus Integer to Radical
1
Simplify the radical.
A LaTex expression showing 3 + 3-th root of 43 + 11
a A LaTex expression showing 3 + 3
b A LaTex expression showing 3 + 4
c A LaTex expression showing 3 + 33-th root of 2
d A LaTex expression showing 3 + 23-th root of 2
e A LaTex expression showing 3 + 1
2
Simplify the radical.
A LaTex expression showing 2 + 3-th root of 191 + 257
a A LaTex expression showing 2 + 23-th root of 6
b A LaTex expression showing 2 + 43-th root of 7
c A LaTex expression showing 2 + 63-th root of 7
d A LaTex expression showing 2 + 23-th root of 3
e A LaTex expression showing 2 + 63-th root of 8
3
Simplify the radical.
A LaTex expression showing 3 + 3-th root of 143 + 46
a A LaTex expression showing 3 + 33-th root of 7
b A LaTex expression showing 3 + 53-th root of 7
c A LaTex expression showing 3 + 33-th root of 8
d A LaTex expression showing 3 + 3-th root of 7
4
Simplify the radical.
A LaTex expression showing 4 + 3-th root of 50 + 78
a A LaTex expression showing 4 + 1
b A LaTex expression showing 4 + 2
c A LaTex expression showing 4 + 4
d A LaTex expression showing 4 + 43-th root of 2
e A LaTex expression showing 4 + 3-th root of 3
5
Simplify the radical.
A LaTex expression showing 2 + 3-th root of 146 - 11
a A LaTex expression showing 2 + 43-th root of 4
b A LaTex expression showing 2 + 53-th root of 5
c A LaTex expression showing 2 + 33-th root of 4
d A LaTex expression showing 2 + 33-th root of 5
e A LaTex expression showing 2 + 5
6
Simplify the radical.
A LaTex expression showing 1 + 3-th root of 86 + 49
a A LaTex expression showing 1 + 33-th root of 5
b A LaTex expression showing 1 + 3-th root of 2
c A LaTex expression showing 1 + 23-th root of 4
d A LaTex expression showing 1 + 33-th root of 7
e A LaTex expression showing 1 + 43-th root of 3
7
Simplify the radical.
A LaTex expression showing 2 + 3-th root of 25 - 1
a A LaTex expression showing 2 + 3-th root of 4
b A LaTex expression showing 2 + 1
c A LaTex expression showing 2 + 23-th root of 6
d A LaTex expression showing 2 + 33-th root of 3
e A LaTex expression showing 2 + 23-th root of 3
8
Simplify the radical.
A LaTex expression showing 3 + 3-th root of 251 - 62
a A LaTex expression showing 3 + 3-th root of 8
b A LaTex expression showing 3 + 33-th root of 7
c A LaTex expression showing 3 + 3-th root of 7
d A LaTex expression showing 3 + 3-th root of 9
e A LaTex expression showing 3 + 63-th root of 3