Cube - Simplify From Cubed Factors, Values and Variables, Nothing Remaining (Level 2)

This math topic focuses on simplifying cube root radicals that contain both numeric factors and variables. It involves extracting perfect cubes from under the radical and simplifying the expression with nothing remaining inside the radical. The problems cover a range of basic to intermediate skills in radical simplification, enhancing proficiency in handling cube roots and honing algebraic manipulation skills with variables. Each expression under the radical sign is structured to practice simplification, requiring the extraction of cubed factors and the simplification of variable terms alongside constants.

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 2 to the power of 2 times 2 to the power of 2 times p to the power of 2 times p to the power of 2 times
a A LaTex expression showing 4p
b A LaTex expression showing p
c A LaTex expression showing 5{p} to the power of 4 square root of 2
d A LaTex expression showing 2psquare root of 3
e A LaTex expression showing 4{p} to the power of 2
2
Simplify the radical
A LaTex expression showing square root of 2 to the power of 2 times p to the power of 2 times
a A LaTex expression showing {p} to the power of 2 square root of 4
b A LaTex expression showing psquare root of 4
c A LaTex expression showing {p} to the power of 3
d A LaTex expression showing 2p
e A LaTex expression showing 4p
3
Simplify the radical
A LaTex expression showing square root of 2 to the power of 2 times p to the power of 2 times p to the power of 2 times
a A LaTex expression showing 2psquare root of 2
b A LaTex expression showing {p} to the power of 2 square root of 2
c A LaTex expression showing 5{p} to the power of 3
d A LaTex expression showing {p} to the power of 2
e A LaTex expression showing 2{p} to the power of 2
4
Simplify the radical
A LaTex expression showing square root of 5 to the power of 2 times d to the power of 2 times d to the power of 2 times
a A LaTex expression showing 7{d} to the power of 2
b A LaTex expression showing 6d
c A LaTex expression showing 4d
d A LaTex expression showing 5{d} to the power of 2
e A LaTex expression showing 5{d} to the power of 4
5
Simplify the radical
A LaTex expression showing square root of 2 to the power of 2 times x to the power of 2 times
a A LaTex expression showing {x} to the power of 3 square root of 4
b A LaTex expression showing xsquare root of 4
c A LaTex expression showing 2x
d A LaTex expression showing x
6
Simplify the radical
A LaTex expression showing square root of 5 to the power of 2 times x to the power of 2 times x to the power of 2 times
a A LaTex expression showing 5{x} to the power of 2
b A LaTex expression showing 7{x} to the power of 3
c A LaTex expression showing 5{x} to the power of 3
d A LaTex expression showing 3{x} to the power of 2 square root of 3
e A LaTex expression showing 6xsquare root of 2
7
Simplify the radical
A LaTex expression showing square root of 3 to the power of 2 times p to the power of 2 times p to the power of 2 times
a A LaTex expression showing {p} to the power of 4 square root of 4
b A LaTex expression showing 5p
c A LaTex expression showing 2p
d A LaTex expression showing 3{p} to the power of 2
e A LaTex expression showing 6psquare root of 4
8
Simplify the radical
A LaTex expression showing square root of 5 to the power of 2 times d to the power of 2 times
a A LaTex expression showing 5d
b A LaTex expression showing 7d
c A LaTex expression showing 4dsquare root of 2
d A LaTex expression showing 6{d} to the power of 2
e A LaTex expression showing dsquare root of 4