Cube - Simplifying from Factors, Values only, Radical Remaining (Level 3)

This math topic focuses on simplifying cube radicals by factorizing the numbers within the radical, isolating the values that are perfect cubes, and simplifying the remaining radical expressions. Participants work to extract and simplify cube roots based on the factors of the numbers under the radicals, honing their skills in simplifying complex radical expressions while leaving part of the radicals unsimplified. This helps solidify their understanding of radicals, particularly cube roots, in various numerical contexts.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

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Radicals - Cube - Simplifying from Factors, Values only, Radical Remaining Worksheet

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Radicals - Cube - Simplifying from Factors, Values only, Radical Remaining
1
Simplify the radical
A LaTex expression showing square root of 3 times 3 times 11
a A LaTex expression showing square root of 14
b A LaTex expression showing square root of 10
c A LaTex expression showing 3square root of 11
d A LaTex expression showing square root of 13
2
Simplify the radical
A LaTex expression showing square root of 2 times 2 times 11
a A LaTex expression showing square root of 12
b A LaTex expression showing 5square root of 14
c A LaTex expression showing 2square root of 11
d A LaTex expression showing 3square root of 14
e A LaTex expression showing square root of 7
3
Simplify the radical
A LaTex expression showing square root of 2 times 2 times 2
a A LaTex expression showing 4
b A LaTex expression showing square root of 2
c A LaTex expression showing 5square root of 3
d A LaTex expression showing 3square root of 3
e A LaTex expression showing 2square root of 2
4
Simplify the radical
A LaTex expression showing square root of 2 times 2 times 5
a A LaTex expression showing 3square root of 6
b A LaTex expression showing 2square root of 5
c A LaTex expression showing 4
d A LaTex expression showing square root of 4
5
Simplify the radical
A LaTex expression showing square root of 2 times 2 times 2 times 2 times 5
a A LaTex expression showing 2square root of 5
b A LaTex expression showing 4square root of 5
c A LaTex expression showing 2square root of 6
d A LaTex expression showing 3
e A LaTex expression showing 2square root of 4
6
Simplify the radical
A LaTex expression showing square root of 5 times 5 times 11
a A LaTex expression showing square root of 13
b A LaTex expression showing 2square root of 11
c A LaTex expression showing 2square root of 8
d A LaTex expression showing 5square root of 11
e A LaTex expression showing 2square root of 12
7
Simplify the radical
A LaTex expression showing square root of 2 times 2 times 2 times 2 times 7
a A LaTex expression showing square root of 4
b A LaTex expression showing 4square root of 7
c A LaTex expression showing 4square root of 9
d A LaTex expression showing 2square root of 10
e A LaTex expression showing 2square root of 4
8
Simplify the radical
A LaTex expression showing square root of 2 times 5 times 5
a A LaTex expression showing 4
b A LaTex expression showing 5
c A LaTex expression showing 5square root of 2
d A LaTex expression showing 3square root of 2