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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Math worksheet on 'Radicals - Addition Under Cubed Radical Plus Integer to Radical (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 3 + 3-th root of 87 - 6
a A LaTex expression showing 3 + 33-th root of 3
b A LaTex expression showing 3 + 3-th root of 3
c A LaTex expression showing 3 + 53-th root of 5
d A LaTex expression showing 3 + 63-th root of 4
e A LaTex expression showing 3 + 43-th root of 6
2
Simplify the radical.
A LaTex expression showing 4 + 3-th root of 116 - 28
a A LaTex expression showing 4 + 3-th root of 10
b A LaTex expression showing 4 + 53-th root of 10
c A LaTex expression showing 4 + 3-th root of 9
d A LaTex expression showing 4 + 23-th root of 11
e A LaTex expression showing 4 + 23-th root of 9
3
Simplify the radical.
A LaTex expression showing 1 + 3-th root of 583 - 135
a A LaTex expression showing 1 + 3-th root of 4
b A LaTex expression showing 1 + 43-th root of 7
c A LaTex expression showing 1 + 63-th root of 8
d A LaTex expression showing 1 + 73-th root of 3
e A LaTex expression showing 1 + 23-th root of 7
4
Simplify the radical.
A LaTex expression showing 4 + 3-th root of 61 - 5
a A LaTex expression showing 4 + 23-th root of 7
b A LaTex expression showing 4 + 3-th root of 3
c A LaTex expression showing 4 + 33-th root of 3
d A LaTex expression showing 4 + 43-th root of 8
e A LaTex expression showing 4 + 3-th root of 6
5
Simplify the radical.
A LaTex expression showing 3 + 3-th root of 71 + 121
a A LaTex expression showing 3 + 3-th root of 2
b A LaTex expression showing 3 + 43-th root of 3
c A LaTex expression showing 3 + 3
d A LaTex expression showing 3 + 2
e A LaTex expression showing 3 + 63-th root of 3
6
Simplify the radical.
A LaTex expression showing 3 + 3-th root of 250 - 58
a A LaTex expression showing 3 + 43-th root of 3
b A LaTex expression showing 3 + 73-th root of 3
c A LaTex expression showing 3 + 53-th root of 5
d A LaTex expression showing 3 + 33-th root of 2
e A LaTex expression showing 3 + 3-th root of 4
7
Simplify the radical.
A LaTex expression showing 2 + 3-th root of 191 + 257
a A LaTex expression showing 2 + 43-th root of 7
b A LaTex expression showing 2 + 63-th root of 7
c A LaTex expression showing 2 + 63-th root of 8
d A LaTex expression showing 2 + 23-th root of 3
e A LaTex expression showing 2 + 23-th root of 6