Radical

Cube - Simplify From Cubed Factors, Values and Variables, Radical Remaining (Level 1)

This math topic focuses on the simplification of cube radicals involving cubed factors, variables, and any remaining radical parts. It allows for practice in breaking down complex algebraic expressions under radical signs by extracting perfect cubes and simplifying the radicand as much as possible. Each question provides a radical expression to simplify with multiple-choice answers, enhancing skills in algebraic manipulation related to radicals, powers, and factorization. The expressions include numbers, single variables, and powers, practical for those looking to deepen their understanding of radicals and exponents.

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, Radical Remaining

Complete these online problems with 80% or 4 correct answers in a row. Results are immediate.


Simplify the radical

22222z\sqrt{2^2\cdot 2^2\cdot 2\cdot z\cdot }

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

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Math worksheet on 'Radicals - Cube - Simplify From Cubed Factors, Values and Variables, Radical Remaining (Level 1)'. 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 5 to the power of 2 times 11 times y to the power of 2 times y times
a A LaTex expression showing 5ysquare root of 8y
b A LaTex expression showing 5{y} to the power of 3 square root of 7y
c A LaTex expression showing 5ysquare root of 11y
d A LaTex expression showing 8{y} to the power of 2 square root of 13{y to the power of 3 }
e A LaTex expression showing 7ysquare root of 13y
f A LaTex expression showing 7ysquare root of 11y
2
Simplify the radical
A LaTex expression showing square root of 2 times 5 to the power of 2 times z times
a A LaTex expression showing square root of 2z
b A LaTex expression showing 7square root of 2{z to the power of 3 }
c A LaTex expression showing 4square root of 4{z to the power of 3 }
d A LaTex expression showing 5square root of 2z
e A LaTex expression showing 3square root of z
f A LaTex expression showing 8square root of {z to the power of 3 }
3
Simplify the radical
A LaTex expression showing square root of 3 to the power of 2 times 5 times m to the power of 2 times
a A LaTex expression showing 5{m} to the power of 2 square root of 8
b A LaTex expression showing 4msquare root of 6
c A LaTex expression showing m
d A LaTex expression showing 3msquare root of 5
e A LaTex expression showing 3msquare root of 2
f A LaTex expression showing 5{m} to the power of 2 square root of 2
4
Simplify the radical
A LaTex expression showing square root of 3 to the power of 2 times 5 times y to the power of 2 times
a A LaTex expression showing 3ysquare root of 5
b A LaTex expression showing 5ysquare root of 7
c A LaTex expression showing 6{y} to the power of 3 square root of 6
d A LaTex expression showing 2ysquare root of 5
e A LaTex expression showing {y} to the power of 3 square root of 6
f A LaTex expression showing 5ysquare root of 6
5
Simplify the radical
A LaTex expression showing square root of 3 to the power of 2 times 3 times c to the power of 2 times
a A LaTex expression showing 6{c} to the power of 2 square root of 2
b A LaTex expression showing csquare root of 5
c A LaTex expression showing 3csquare root of 3
d A LaTex expression showing 5csquare root of 4
e A LaTex expression showing 4{c} to the power of 2 square root of 5
f A LaTex expression showing 3{c} to the power of 2 square root of 3
6
Simplify the radical
A LaTex expression showing square root of 2 to the power of 2 times 7 times r to the power of 2 times r times
a A LaTex expression showing 3rsquare root of 5r
b A LaTex expression showing 5{r} to the power of 3 square root of 10r
c A LaTex expression showing 3rsquare root of 7r
d A LaTex expression showing 2rsquare root of 7r
e A LaTex expression showing rsquare root of 10{r to the power of 2 }
f A LaTex expression showing {r} to the power of 3 square root of 4{r to the power of 2 }
7
Simplify the radical
A LaTex expression showing square root of 2 times 3 to the power of 2 times b to the power of 2 times b times
a A LaTex expression showing 2bsquare root of b
b A LaTex expression showing bsquare root of b
c A LaTex expression showing bsquare root of {b to the power of 3 }
d A LaTex expression showing 3{b} to the power of 3 square root of 2b
e A LaTex expression showing 3bsquare root of 2b
f A LaTex expression showing 2bsquare root of {b to the power of 3 }