Addition Under Cubed Radical Times Integer To Radical (Level 1)

This math topic focuses on simplifying radicals, particularly using operations with addition and multiplication under various degrees of roots (e.g., cubic, 43rd, 53rd). Each question provides a radical expression to simplify, potentially involving both adding integers and radicals before applying the root. Options for answers are given as different roots of numbers, highlighting the necessity to understand and manipulate complex radical expressions effectively. This forms part of a broader unit on 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 23-th root of 52 - 12
a A LaTex expression showing 33-th root of 3
b A LaTex expression showing 3-th root of 2
c A LaTex expression showing 63-th root of 8
d A LaTex expression showing 53-th root of 6
e A LaTex expression showing 43-th root of 5
2
Simplify the radical.
A LaTex expression showing 53-th root of 581 - 133
a A LaTex expression showing 223-th root of 8
b A LaTex expression showing 213-th root of 6
c A LaTex expression showing 203-th root of 7
d A LaTex expression showing 193-th root of 5
3
Simplify the radical.
A LaTex expression showing 43-th root of 228 - 36
a A LaTex expression showing 163-th root of 3
b A LaTex expression showing 133-th root of 4
c A LaTex expression showing 183-th root of 2
d A LaTex expression showing 183-th root of 6
4
Simplify the radical.
A LaTex expression showing 53-th root of 163 + 29
a A LaTex expression showing 233-th root of 5
b A LaTex expression showing 163-th root of 2
c A LaTex expression showing 173-th root of 2
d A LaTex expression showing 203-th root of 3
5
Simplify the radical.
A LaTex expression showing 33-th root of 70 + 58
a A LaTex expression showing 133-th root of 3
b A LaTex expression showing 9
c A LaTex expression showing 123-th root of 2
d A LaTex expression showing 14
e A LaTex expression showing 103-th root of 3
6
Simplify the radical.
A LaTex expression showing 23-th root of 554 - 106
a A LaTex expression showing 53-th root of 6
b A LaTex expression showing 93-th root of 9
c A LaTex expression showing 83-th root of 7
d A LaTex expression showing 73-th root of 6
e A LaTex expression showing 53-th root of 9
7
Simplify the radical.
A LaTex expression showing 23-th root of 55 - 1
a A LaTex expression showing 43-th root of 4
b A LaTex expression showing 63-th root of 2
c A LaTex expression showing 4
d A LaTex expression showing 5
e A LaTex expression showing 2
8
Simplify the radical.
A LaTex expression showing 53-th root of 15 + 25
a A LaTex expression showing 103-th root of 5
b A LaTex expression showing 113-th root of 3
c A LaTex expression showing 73-th root of 3
d A LaTex expression showing 103-th root of 2