Cube - Simplify From Cubed Factors, Values only, Radical Remaining (Level 3)

This math topic focuses on simplifying cube radicals that involve extracting cubed factors and determining the remaining values under the radical. It involves practicing the simplification of expressions where students need to determine the most simplified form of radicals given specific multiplicative factors. Each problem presents complex radicals, requiring students to apply their understanding of foundational radical operations and critical thinking to deduce the simplest forms, choosing between multiple possible answers. These problems are a part of a broader unit on practicing radical simplification.

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

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Radicals - Cube - Simplify From Cubed Factors, Values only, Radical Remaining Worksheet

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