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.

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

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Radicals - Cube - Simplifying, Values and Variables, Radical Remaining
1
Simplify the radical
A LaTex expression showing square root of 32{d to the power of 5 }
a A LaTex expression showing dsquare root of d
b A LaTex expression showing {d} to the power of 2 square root of {d to the power of 3 }
c A LaTex expression showing 4{d} to the power of 4 square root of 4d
d A LaTex expression showing 4{d} to the power of 2 square root of 2d
e A LaTex expression showing {d} to the power of 3 square root of 3{d to the power of 3 }
2
Simplify the radical
A LaTex expression showing square root of 112{d to the power of 2 }
a A LaTex expression showing 2{d} to the power of 2 square root of 10
b A LaTex expression showing 4{d} to the power of 3 square root of 8
c A LaTex expression showing {d} to the power of 3 square root of 9
d A LaTex expression showing 7dsquare root of 10
e A LaTex expression showing 4dsquare root of 7
3
Simplify the radical
A LaTex expression showing square root of 75{r to the power of 5 }
a A LaTex expression showing 5{r} to the power of 2 square root of 3r
b A LaTex expression showing 2rsquare root of 3{r to the power of 3 }
c A LaTex expression showing 3{r} to the power of 3 square root of 2r
d A LaTex expression showing 4{r} to the power of 2 square root of 6r
e A LaTex expression showing 7rsquare root of {r to the power of 2 }
4
Simplify the radical
A LaTex expression showing square root of 176{y to the power of 5 }
a A LaTex expression showing 7ysquare root of 11{y to the power of 2 }
b A LaTex expression showing 3{y} to the power of 4 square root of 12y
c A LaTex expression showing 2{y} to the power of 2 square root of 11y
d A LaTex expression showing 5ysquare root of 8y
e A LaTex expression showing 4{y} to the power of 2 square root of 11y
5
Simplify the radical
A LaTex expression showing square root of 20{p to the power of 3 }
a A LaTex expression showing {p} to the power of 3 square root of 4{p to the power of 3 }
b A LaTex expression showing 5psquare root of 3{p to the power of 2 }
c A LaTex expression showing 5psquare root of 4{p to the power of 2 }
d A LaTex expression showing 2{p} to the power of 3 square root of 2p
e A LaTex expression showing 2psquare root of 5p
6
Simplify the radical
A LaTex expression showing square root of 45{m to the power of 4 }
a A LaTex expression showing msquare root of 8
b A LaTex expression showing 6msquare root of 8
c A LaTex expression showing {m} to the power of 3 square root of 6
d A LaTex expression showing {m} to the power of 4 square root of 3
e A LaTex expression showing 3{m} to the power of 2 square root of 5
7
Simplify the radical
A LaTex expression showing square root of 45{n to the power of 3 }
a A LaTex expression showing 3nsquare root of 5n
b A LaTex expression showing nsquare root of n
c A LaTex expression showing 3{n} to the power of 3 square root of 5{n to the power of 2 }
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
8
Simplify the radical
A LaTex expression showing square root of 12{r to the power of 2 }
a A LaTex expression showing r
b A LaTex expression showing 5rsquare root of 2
c A LaTex expression showing 2rsquare root of 3
d A LaTex expression showing 5{r} to the power of 2
e A LaTex expression showing 4{r} to the power of 2