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Radicals - Cube - Simplifying, Values and Variables, Nothing Remaining (Level 1)

This math topic focuses on the practice of simplifying cubic radicals involving values and variables, ensuring nothing remains under the radical when simplified. It forms part of a broader unit on simplifying radicals, allowing learners to enhance their skills in manipulating and reducing expressions with cube roots of both constants and variable terms to their simplest forms. Each problem requires determining the simplest form from multiple choices, thereby testing understanding and application of rules for radicals in algebra.

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

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Cube - Simplifying, Values and Variables, Nothing Remaining

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Simplify the radical

16x2\sqrt{16{x}^{2}}

Radicals - Cube - Simplifying, Values and Variables, Nothing Remaining Worksheet

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Math worksheet on 'Radicals - Cube - Simplifying, Values and Variables, Nothing 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 4{m to the power of 2 }
a A LaTex expression showing 4{m} to the power of 2
b A LaTex expression showing 5msquare root of 3
c A LaTex expression showing 2msquare root of 3
d A LaTex expression showing 3{m} to the power of 2
e A LaTex expression showing 3m
f A LaTex expression showing 2m
2
Simplify the radical
A LaTex expression showing square root of 25{y to the power of 2 }
a A LaTex expression showing 4ysquare root of 4
b A LaTex expression showing 7y
c A LaTex expression showing {y} to the power of 3 square root of 3
d A LaTex expression showing 5{y} to the power of 2
e A LaTex expression showing {y} to the power of 3
f A LaTex expression showing 5y
3
Simplify the radical
A LaTex expression showing square root of 4{z to the power of 2 }
a A LaTex expression showing 4zsquare root of 3
b A LaTex expression showing {z} to the power of 3 square root of 4
c A LaTex expression showing {z} to the power of 2
d A LaTex expression showing 2{z} to the power of 3 square root of 2
e A LaTex expression showing 2z
f A LaTex expression showing 4{z} to the power of 2
4
Simplify the radical
A LaTex expression showing square root of 9{x to the power of 2 }
a A LaTex expression showing 2x
b A LaTex expression showing 3x
c A LaTex expression showing {x} to the power of 3 square root of 4
d A LaTex expression showing 4{x} to the power of 3 square root of 2
e A LaTex expression showing 2xsquare root of 4
f A LaTex expression showing 5{x} to the power of 3 square root of 2
5
Simplify the radical
A LaTex expression showing square root of 4{r to the power of 2 }
a A LaTex expression showing 5{r} to the power of 2 square root of 3
b A LaTex expression showing r
c A LaTex expression showing 4{r} to the power of 2 square root of 2
d A LaTex expression showing 4{r} to the power of 2
e A LaTex expression showing 2r
f A LaTex expression showing {r} to the power of 2
6
Simplify the radical
A LaTex expression showing square root of 16{p to the power of 2 }
a A LaTex expression showing p
b A LaTex expression showing 7p
c A LaTex expression showing 4p
d A LaTex expression showing 3p
e A LaTex expression showing 5psquare root of 2
f A LaTex expression showing 2psquare root of 2
7
Simplify the radical
A LaTex expression showing square root of 16{c to the power of 2 }
a A LaTex expression showing 4c
b A LaTex expression showing c
c A LaTex expression showing {c} to the power of 2 square root of 3
d A LaTex expression showing 5csquare root of 4
e A LaTex expression showing 6csquare root of 4
f A LaTex expression showing 6{c} to the power of 3