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

This math topic focuses on simplifying cube radicals involving numbers and variables, covering various levels of complexity. Each question presents a radical expression, and multiple choice answers demonstrate different ways the radical can be simplified. The tasks primarily test the ability to manipulate and simplify radicals that include algebraic expressions, emphasizing the assessment and application of simplifying techniques in these contexts.

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

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

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Math worksheet on 'Radicals - Cube - Simplifying, Values and Variables, Radical Remaining (Level 2)'. Part of a broader unit on 'Radicals - Simplifying Advanced' Learn online: app.mobius.academy/math/units/radicals_simplifying_advanced/
1
Simplify the radical
A LaTex expression showing square root of 75{r to the power of 5 }
a A LaTex expression showing 7rsquare root of {r to the power of 2 }
b A LaTex expression showing 3{r} to the power of 3 square root of 2r
c A LaTex expression showing 2rsquare root of 3{r to the power of 3 }
d A LaTex expression showing 4{r} to the power of 2 square root of 6r
e A LaTex expression showing 5{r} to the power of 2 square root of 3r
2
Simplify the radical
A LaTex expression showing square root of 20{c to the power of 3 }
a A LaTex expression showing 5{c} to the power of 3 square root of 3c
b A LaTex expression showing 2csquare root of 5c
c A LaTex expression showing csquare root of 8c
d A LaTex expression showing csquare root of 5{c to the power of 3 }
e A LaTex expression showing 5{c} to the power of 3 square root of 6{c to the power of 2 }
3
Simplify the radical
A LaTex expression showing square root of 44{z to the power of 3 }
a A LaTex expression showing 5{z} to the power of 2 square root of 11z
b A LaTex expression showing 5zsquare root of 12{z to the power of 3 }
c A LaTex expression showing 5zsquare root of 10{z to the power of 3 }
d A LaTex expression showing zsquare root of 9z
e A LaTex expression showing 2zsquare root of 11z
4
Simplify the radical
A LaTex expression showing square root of 80x
a A LaTex expression showing 2square root of 6{x to the power of 2 }
b A LaTex expression showing square root of 4{x to the power of 3 }
c A LaTex expression showing 7square root of 7x
d A LaTex expression showing 4square root of 5x
e A LaTex expression showing 4square root of 3{x to the power of 2 }
5
Simplify the radical
A LaTex expression showing square root of 80{r to the power of 2 }
a A LaTex expression showing 4rsquare root of 5
b A LaTex expression showing 5rsquare root of 7
c A LaTex expression showing 3{r} to the power of 2 square root of 2
d A LaTex expression showing 5rsquare root of 2
e A LaTex expression showing rsquare root of 5
6
Simplify the radical
A LaTex expression showing square root of 45{n to the power of 3 }
a A LaTex expression showing 3{n} to the power of 3 square root of 5{n to the power of 2 }
b A LaTex expression showing nsquare root of n
c A LaTex expression showing 3nsquare root of 5n
d A LaTex expression showing nsquare root of 4n
e A LaTex expression showing 5{n} to the power of 3 square root of 7n
7
Simplify the radical
A LaTex expression showing square root of 80{p to the power of 3 }
a A LaTex expression showing 5psquare root of {p to the power of 3 }
b A LaTex expression showing 2{p} to the power of 2 square root of 4p
c A LaTex expression showing 7psquare root of 5p
d A LaTex expression showing 5{p} to the power of 3 square root of 6{p to the power of 3 }
e A LaTex expression showing 4psquare root of 5p