Radical

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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Cube - Simplify From Cubed Factors, Values and Variables, Nothing Remaining

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Simplify the radical

22p2p2\sqrt{2^2\cdot p^2\cdot p^2\cdot }

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Radicals - Cube - Simplify From Cubed Factors, Values and Variables, Nothing Remaining Worksheet

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Math worksheet on 'Radicals - Cube - Simplify From Cubed Factors, Values and Variables, Nothing Remaining (Level 2)'. Part of a broader unit on 'Radicals - Simplifying Practice' Learn online: app.mobius.academy/math/units/radicals_simplifying_practice/
1
Simplify the radical
A LaTex expression showing square root of 3 to the power of 2 times c to the power of 2 times c to the power of 2 times
a A LaTex expression showing 6{c} to the power of 3
b A LaTex expression showing {c} to the power of 4
c A LaTex expression showing 3{c} to the power of 2
d A LaTex expression showing 5{c} to the power of 3
e A LaTex expression showing 5{c} to the power of 4
f A LaTex expression showing 3{c} to the power of 4
2
Simplify the radical
A LaTex expression showing square root of 2 to the power of 2 times 2 to the power of 2 times n to the power of 2 times
a A LaTex expression showing 5n
b A LaTex expression showing 4n
c A LaTex expression showing {n} to the power of 2
d A LaTex expression showing 3{n} to the power of 2
e A LaTex expression showing 7{n} to the power of 3
f A LaTex expression showing nsquare root of 2
3
Simplify the radical
A LaTex expression showing square root of 2 to the power of 2 times 2 to the power of 2 times m to the power of 2 times
a A LaTex expression showing 4m
b A LaTex expression showing {m} to the power of 2
c A LaTex expression showing 6m
d A LaTex expression showing 3m
e A LaTex expression showing msquare root of 2
f A LaTex expression showing 7{m} to the power of 3
4
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 4{p} to the power of 3
b A LaTex expression showing psquare root of 2
c A LaTex expression showing 3{p} to the power of 2
d A LaTex expression showing 4p
e A LaTex expression showing 6p
f A LaTex expression showing 4{p} to the power of 2
5
Simplify the radical
A LaTex expression showing square root of 3 to the power of 2 times y to the power of 2 times y to the power of 2 times
a A LaTex expression showing 5y
b A LaTex expression showing y
c A LaTex expression showing 3{y} to the power of 2
d A LaTex expression showing {y} to the power of 4
e A LaTex expression showing 5{y} to the power of 4
f A LaTex expression showing 4y
6
Simplify the radical
A LaTex expression showing square root of 3 to the power of 2 times z to the power of 2 times
a A LaTex expression showing {z} to the power of 2 square root of 2
b A LaTex expression showing 4{z} to the power of 2 square root of 4
c A LaTex expression showing 3z
d A LaTex expression showing 2{z} to the power of 3
e A LaTex expression showing 6{z} to the power of 2
f A LaTex expression showing zsquare root of 4
7
Simplify the radical
A LaTex expression showing square root of 2 to the power of 2 times 2 to the power of 2 times y to the power of 2 times y to the power of 2 times
a A LaTex expression showing 2y
b A LaTex expression showing 4y
c A LaTex expression showing 2{y} to the power of 3 square root of 4
d A LaTex expression showing 7ysquare root of 3
e A LaTex expression showing 2{y} to the power of 3 square root of 3
f A LaTex expression showing 4{y} to the power of 2