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

This math topic covers the simplification of radical expressions involving the addition of cubed roots and integers. Students practice simplifying expressions by combining integer values with the results of cube roots of various sums or differences. The task includes discerning which simplified form matches the given expression among multiple choices, which may also involve different types of roots or additional integers. This aims to enhance students' ability to manipulate and simplify complex radical expressions.

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 1 + 3-th root of 151 + 38
a A LaTex expression showing 1 + 33-th root of 4
b A LaTex expression showing 1 + 3-th root of 6
c A LaTex expression showing 1 + 43-th root of 10
d A LaTex expression showing 1 + 43-th root of 7
e A LaTex expression showing 1 + 33-th root of 7
2
Simplify the radical.
A LaTex expression showing 2 + 3-th root of 19 + 5
a A LaTex expression showing 2 + 23-th root of 3
b A LaTex expression showing 2 + 5
c A LaTex expression showing 2 + 1
d A LaTex expression showing 2 + 2
3
Simplify the radical.
A LaTex expression showing 3 + 3-th root of 709 + 1667
a A LaTex expression showing 3 + 93-th root of 7
b A LaTex expression showing 3 + 53-th root of 7
c A LaTex expression showing 3 + 63-th root of 11
d A LaTex expression showing 3 + 83-th root of 11
e A LaTex expression showing 3 + 83-th root of 8
4
Simplify the radical.
A LaTex expression showing 1 + 3-th root of 45 - 5
a A LaTex expression showing 1 + 3-th root of 3
b A LaTex expression showing 1 + 3-th root of 8
c A LaTex expression showing 1 + 1
d A LaTex expression showing 1 + 23-th root of 5
e A LaTex expression showing 1 + 23-th root of 4
5
Simplify the radical.
A LaTex expression showing 3 + 3-th root of 101 - 20
a A LaTex expression showing 3 + 33-th root of 3
b A LaTex expression showing 3 + 3
c A LaTex expression showing 3 + 3-th root of 4
d A LaTex expression showing 3 + 43-th root of 3
e A LaTex expression showing 3 + 2
6
Simplify the radical.
A LaTex expression showing 2 + 3-th root of 94 - 6
a A LaTex expression showing 2 + 53-th root of 10
b A LaTex expression showing 2 + 43-th root of 7
c A LaTex expression showing 2 + 23-th root of 7
d A LaTex expression showing 2 + 23-th root of 11
e A LaTex expression showing 2 + 53-th root of 8
7
Simplify the radical.
A LaTex expression showing 2 + 3-th root of 489 - 41
a A LaTex expression showing 2 + 63-th root of 8
b A LaTex expression showing 2 + 73-th root of 10
c A LaTex expression showing 2 + 43-th root of 7
d A LaTex expression showing 2 + 3-th root of 10
8
Simplify the radical.
A LaTex expression showing 1 + 3-th root of 41 - 1
a A LaTex expression showing 1 + 3-th root of 3
b A LaTex expression showing 1 + 43-th root of 3
c A LaTex expression showing 1 + 3-th root of 4
d A LaTex expression showing 1 + 33-th root of 7
e A LaTex expression showing 1 + 23-th root of 5