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

This math topic focuses on simplifying radicals, specifically involving operations under cubed roots multiplied by integers leading to radicals. Problems require simplifying expressions under various root powers through addition or subtraction, then identifying equivalent radical forms from multiple options. Each question involves arithmetic operations followed by simplifying the expression under high-order roots, such as the 33rd, 53rd, or 103rd roots. This set of problems is part of broader practice aimed at mastering radical simplification.

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 Radical Worksheet

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Radicals - Addition Under Cubed Radical Times Integer To Radical
1
Simplify the radical.
A LaTex expression showing 53-th root of 177 + 12
a A LaTex expression showing 153-th root of 7
b A LaTex expression showing 173-th root of 5
c A LaTex expression showing 153-th root of 10
d A LaTex expression showing 133-th root of 6
e A LaTex expression showing 153-th root of 9
2
Simplify the radical.
A LaTex expression showing 23-th root of 379 - 4
a A LaTex expression showing 13
b A LaTex expression showing 103-th root of 3
c A LaTex expression showing 113-th root of 5
d A LaTex expression showing 10
e A LaTex expression showing 83-th root of 6
3
Simplify the radical.
A LaTex expression showing 23-th root of 276 - 26
a A LaTex expression showing 133-th root of 5
b A LaTex expression showing 113-th root of 4
c A LaTex expression showing 103-th root of 2
d A LaTex expression showing 7
e A LaTex expression showing 63-th root of 5
4
Simplify the radical.
A LaTex expression showing 23-th root of 247 + 50
a A LaTex expression showing 43-th root of 11
b A LaTex expression showing 93-th root of 14
c A LaTex expression showing 53-th root of 9
d A LaTex expression showing 63-th root of 11
e A LaTex expression showing 73-th root of 8
5
Simplify the radical.
A LaTex expression showing 23-th root of 78 + 10
a A LaTex expression showing 53-th root of 13
b A LaTex expression showing 73-th root of 9
c A LaTex expression showing 43-th root of 10
d A LaTex expression showing 23-th root of 7
e A LaTex expression showing 43-th root of 11
6
Simplify the radical.
A LaTex expression showing 43-th root of 17 - 1
a A LaTex expression showing 9
b A LaTex expression showing 103-th root of 3
c A LaTex expression showing 63-th root of 2
d A LaTex expression showing 73-th root of 2
e A LaTex expression showing 83-th root of 2
7
Simplify the radical.
A LaTex expression showing 43-th root of 938 - 63
a A LaTex expression showing 193-th root of 7
b A LaTex expression showing 203-th root of 7
c A LaTex expression showing 183-th root of 3
d A LaTex expression showing 193-th root of 4
e A LaTex expression showing 163-th root of 8
8
Simplify the radical.
A LaTex expression showing 33-th root of 67 - 11
a A LaTex expression showing 73-th root of 7
b A LaTex expression showing 43-th root of 5
c A LaTex expression showing 63-th root of 7
d A LaTex expression showing 93-th root of 7
e A LaTex expression showing 43-th root of 8