Cube - Simplify From Cubed Factors, Values and Variables, Nothing Remaining (Level 1)

This math topic focuses on simplifying cube root radicals that involve numerical factors, values, and variables with no remaining factors under the radical once simplified. The problems are structured to practice extracting perfect cube factors from under the radical to simplify expressions. Each question is presented with multiple-choice answers, challenging the student to select the correct simplified form of the given radical expression. These problems are a subset of a broader unit dedicated to the practice of simplifying various radical expressions.

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 and Variables, Nothing Remaining Worksheet

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Radicals - Cube - Simplify From Cubed Factors, Values and Variables, Nothing Remaining
1
Simplify the radical
A LaTex expression showing square root of 5 to the power of 2 times z to the power of 2 times
a A LaTex expression showing 5z
b A LaTex expression showing 2z
c A LaTex expression showing 3zsquare root of 4
d A LaTex expression showing 7z
2
Simplify the radical
A LaTex expression showing square root of 3 to the power of 2 times c to the power of 2 times
a A LaTex expression showing 5csquare root of 4
b A LaTex expression showing csquare root of 3
c A LaTex expression showing 3c
d A LaTex expression showing {c} to the power of 2
3
Simplify the radical
A LaTex expression showing square root of 2 to the power of 2 times n to the power of 2 times
a A LaTex expression showing nsquare root of 2
b A LaTex expression showing 2n
c A LaTex expression showing n
d A LaTex expression showing {n} to the power of 2
e A LaTex expression showing 5n
4
Simplify the radical
A LaTex expression showing square root of 5 to the power of 2 times p to the power of 2 times
a A LaTex expression showing 6{p} to the power of 3
b A LaTex expression showing 2p
c A LaTex expression showing 7{p} to the power of 2 square root of 3
d A LaTex expression showing 5p
e A LaTex expression showing 4psquare root of 2
5
Simplify the radical
A LaTex expression showing square root of 3 to the power of 2 times b to the power of 2 times
a A LaTex expression showing 3{b} to the power of 3
b A LaTex expression showing {b} to the power of 3
c A LaTex expression showing b
d A LaTex expression showing 3b
e A LaTex expression showing 5{b} to the power of 3 square root of 2
6
Simplify the radical
A LaTex expression showing square root of 3 to the power of 2 times p to the power of 2 times
a A LaTex expression showing 3p
b A LaTex expression showing p
c A LaTex expression showing 4psquare root of 2
d A LaTex expression showing {p} to the power of 3 square root of 4
e A LaTex expression showing {p} to the power of 2
7
Simplify the radical
A LaTex expression showing square root of 5 to the power of 2 times y to the power of 2 times
a A LaTex expression showing 7y
b A LaTex expression showing 5y
c A LaTex expression showing 6ysquare root of 4
d A LaTex expression showing 8y
e A LaTex expression showing 3y
8
Simplify the radical
A LaTex expression showing square root of 3 to the power of 2 times m to the power of 2 times
a A LaTex expression showing 2{m} to the power of 2 square root of 4
b A LaTex expression showing 5m
c A LaTex expression showing 2m
d A LaTex expression showing 3m
e A LaTex expression showing msquare root of 3