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Radicals - Cube - Simplifying from Factors, Values and Variables, Radical Remaining (Level 2)

This math topic focuses on simplifying cube radicals involving numerical factors, values, and variables, while handling any remaining radicals in the expression. Each problem presents a radical containing combinations of prime and composite numbers multiplied by variable factors. The students are tasked with simplifying these expressions to their simplest form, showcasing a fundamental understanding of radical simplification techniques—especially pertaining to dealing with cube roots in algebra. This skill set is crucial for algebraic manipulation and problem-solving in more advanced math courses.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

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Cube - Simplifying from 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

22222yyy\sqrt{2\cdot 2\cdot 2\cdot 2\cdot 2\cdot y\cdot y\cdot y}

Radicals - Cube - Simplifying from Factors, Values and Variables, Radical Remaining Worksheet

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Math worksheet on 'Radicals - Cube - Simplifying from Factors, Values and Variables, Radical 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 5 times 5 times 5 times z
a A LaTex expression showing 3square root of 8z
b A LaTex expression showing 5square root of 5z
c A LaTex expression showing 3square root of 5{z to the power of 2 }
d A LaTex expression showing 6square root of z
e A LaTex expression showing 7square root of 3{z to the power of 3 }
f A LaTex expression showing 6square root of 5z
2
Simplify the radical
A LaTex expression showing square root of 5 times 5 times 5 times c times c times c times c
a A LaTex expression showing 6{c} to the power of 2 square root of 5
b A LaTex expression showing {c} to the power of 2
c A LaTex expression showing 8csquare root of 7
d A LaTex expression showing 6{c} to the power of 2 square root of 6
e A LaTex expression showing 5{c} to the power of 4
f A LaTex expression showing 5{c} to the power of 2 square root of 5
3
Simplify the radical
A LaTex expression showing square root of 2 times 2 times 5 times z times z
a A LaTex expression showing 2zsquare root of 3
b A LaTex expression showing 5{z} to the power of 3 square root of 5
c A LaTex expression showing {z} to the power of 3 square root of 8
d A LaTex expression showing {z} to the power of 3 square root of 5
e A LaTex expression showing {z} to the power of 2 square root of 8
f A LaTex expression showing 2zsquare root of 5
4
Simplify the radical
A LaTex expression showing square root of 2 times 2 times 2 times z
a A LaTex expression showing 5square root of 3{z to the power of 2 }
b A LaTex expression showing square root of 3z
c A LaTex expression showing 2square root of 2z
d A LaTex expression showing square root of z
e A LaTex expression showing 4square root of 4z
f A LaTex expression showing square root of 3{z to the power of 2 }
5
Simplify the radical
A LaTex expression showing square root of 5 times 5 times 11 times z times z times z times z times z
a A LaTex expression showing 2{z} to the power of 2 square root of 8z
b A LaTex expression showing 2{z} to the power of 3 square root of 7z
c A LaTex expression showing 7{z} to the power of 2 square root of 10{z to the power of 3 }
d A LaTex expression showing {z} to the power of 3 square root of 12{z to the power of 2 }
e A LaTex expression showing 6zsquare root of 7z
f A LaTex expression showing 5{z} to the power of 2 square root of 11z
6
Simplify the radical
A LaTex expression showing square root of 3 times 5 times 5 times r times r times r times r times r
a A LaTex expression showing 5{r} to the power of 2 square root of 3r
b A LaTex expression showing 8rsquare root of {r to the power of 2 }
c A LaTex expression showing 6{r} to the power of 2 square root of 4r
d A LaTex expression showing 4{r} to the power of 3 square root of 4{r to the power of 3 }
e A LaTex expression showing 5{r} to the power of 4 square root of r
f A LaTex expression showing {r} to the power of 4 square root of 2r
7
Simplify the radical
A LaTex expression showing square root of 5 times 5 times 7 times m
a A LaTex expression showing 5square root of 7{m to the power of 3 }
b A LaTex expression showing 5square root of 7m
c A LaTex expression showing 3square root of 7m
d A LaTex expression showing 6square root of 4{m to the power of 3 }
e A LaTex expression showing 4square root of 7{m to the power of 3 }
f A LaTex expression showing square root of 9{m to the power of 2 }