Radical

Cube - Simplify From Cubed Factors, Values and Variables, Radical Remaining (Level 2)

This math topic involves practicing the simplification of cube radicals involving factors, values, and variables, while a radical remains un-simplified in some cases. Students engage with problems requiring them to break down and simplify expressions containing both numerical and algebraic elements under a cube root. Correct answers are provided in multiple-choice format, challenging students to identify the fully simplified form of the radical expression. Each question presents a different configuration of bases and exponents, promoting the application of rules for exponents and radicals in various scenarios.

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

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Simplify the radical

22225n2n\sqrt{2^2\cdot 2^2\cdot 5\cdot n^2\cdot n\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 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 2 times 5 to the power of 2 times z to the power of 2 times
a A LaTex expression showing 7{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 4z
d A LaTex expression showing 5zsquare root of 2
e A LaTex expression showing 5{z} to the power of 3 square root of 3
f A LaTex expression showing 6{z} to the power of 2 square root of 2
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 5 times d to the power of 2 times
a A LaTex expression showing 6{d} to the power of 3 square root of 6
b A LaTex expression showing dsquare root of 3
c A LaTex expression showing 4dsquare root of 5
d A LaTex expression showing {d} to the power of 2
e A LaTex expression showing 4dsquare root of 2
f A LaTex expression showing 3{d} to the power of 3 square root of 3
3
Simplify the radical
A LaTex expression showing square root of 3 to the power of 2 times 7 times y to the power of 2 times y to the power of 2 times y times
a A LaTex expression showing 6ysquare root of 9y
b A LaTex expression showing 2{y} to the power of 3 square root of 9y
c A LaTex expression showing 3{y} to the power of 2 square root of 7y
d A LaTex expression showing 6ysquare root of 7y
e A LaTex expression showing 2ysquare root of 9y
f A LaTex expression showing 2{y} to the power of 2 square root of 3y
4
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 to the power of 2 times r times
a A LaTex expression showing {r} to the power of 3 square root of 3r
b A LaTex expression showing {r} to the power of 3 square root of 7r
c A LaTex expression showing 2{r} to the power of 2 square root of 7r
d A LaTex expression showing 3rsquare root of 6r
e A LaTex expression showing {r} to the power of 4 square root of 3{r to the power of 3 }
f A LaTex expression showing 5{r} to the power of 2 square root of 10{r to the power of 3 }
5
Simplify the radical
A LaTex expression showing square root of 2 to the power of 2 times 7 times y times
a A LaTex expression showing 2square root of 7y
b A LaTex expression showing 3square root of 7y
c A LaTex expression showing 5square root of 8{y to the power of 3 }
d A LaTex expression showing square root of 10y
e A LaTex expression showing square root of 7{y to the power of 2 }
f A LaTex expression showing 5square root of 10y
6
Simplify the radical
A LaTex expression showing square root of 5 to the power of 2 times 7 times d times
a A LaTex expression showing 6square root of 4d
b A LaTex expression showing 7square root of 3d
c A LaTex expression showing 5square root of 7d
d A LaTex expression showing 2square root of 4d
e A LaTex expression showing square root of 4d
f A LaTex expression showing 6square root of 6{d to the power of 3 }
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 5 times x times
a A LaTex expression showing 5square root of x
b A LaTex expression showing 2square root of 3{x to the power of 2 }
c A LaTex expression showing 4square root of 3x
d A LaTex expression showing 4square root of 5x
e A LaTex expression showing 4square root of 2x
f A LaTex expression showing 2square root of 6x