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Radicals - 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

22â‹…11â‹…n2â‹…\sqrt{2^2\cdot 11\cdot n^2\cdot }

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 5 times z to the power of 2 times
a A LaTex expression showing 5zsquare root of 5
b A LaTex expression showing 6zsquare root of 5
c A LaTex expression showing 7zsquare root of 2
d A LaTex expression showing 5{z} to the power of 3 square root of 7
e A LaTex expression showing 5{z} to the power of 2 square root of 6
f A LaTex expression showing 2zsquare root of 7
2
Simplify the radical
A LaTex expression showing square root of 5 to the power of 2 times 11 times n to the power of 2 times
a A LaTex expression showing 6{n} to the power of 3 square root of 14
b A LaTex expression showing 5nsquare root of 11
c A LaTex expression showing nsquare root of 10
d A LaTex expression showing 5{n} to the power of 3 square root of 14
e A LaTex expression showing nsquare root of 12
f A LaTex expression showing {n} to the power of 3 square root of 7
3
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 4square root of 4{z to the power of 3 }
b A LaTex expression showing 7square root of 2{z to the power of 3 }
c A LaTex expression showing square root of 2z
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 }
4
Simplify the radical
A LaTex expression showing square root of 5 to the power of 2 times 11 times z times
a A LaTex expression showing 2square root of 11z
b A LaTex expression showing 4square root of 7z
c A LaTex expression showing square root of 7z
d A LaTex expression showing 8square root of 11{z to the power of 3 }
e A LaTex expression showing 5square root of 11z
f A LaTex expression showing 3square root of 12{z to the power of 3 }
5
Simplify the radical
A LaTex expression showing square root of 5 to the power of 2 times 7 times d to the power of 2 times
a A LaTex expression showing dsquare root of 10
b A LaTex expression showing 3dsquare root of 10
c A LaTex expression showing {d} to the power of 3 square root of 3
d A LaTex expression showing 6dsquare root of 7
e A LaTex expression showing 2{d} to the power of 2 square root of 3
f A LaTex expression showing 5dsquare root of 7
6
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 times m to the power of 2 times m times
a A LaTex expression showing 2msquare root of 4m
b A LaTex expression showing 5{m} to the power of 2 square root of 5{m to the power of 2 }
c A LaTex expression showing 5{m} to the power of 3 square root of 3{m to the power of 2 }
d A LaTex expression showing 4msquare root of 2m
e A LaTex expression showing msquare root of m
f A LaTex expression showing 6{m} to the power of 2 square root of 3m
7
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 3{c} to the power of 2 square root of 3
b A LaTex expression showing 4{c} to the power of 2 square root of 5
c A LaTex expression showing 6{c} to the power of 2 square root of 2
d A LaTex expression showing 5csquare root of 4
e A LaTex expression showing csquare root of 5
f A LaTex expression showing 3csquare root of 3