Cube - Simplify From Cubed Factors, Values and Variables, Radical Remaining (Level 1)

This math topic focuses on the simplification of cube radicals involving cubed factors, variables, and any remaining radical parts. It allows for practice in breaking down complex algebraic expressions under radical signs by extracting perfect cubes and simplifying the radicand as much as possible. Each question provides a radical expression to simplify with multiple-choice answers, enhancing skills in algebraic manipulation related to radicals, powers, and factorization. The expressions include numbers, single variables, and powers, practical for those looking to deepen their understanding of radicals and exponents.

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

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Radicals - Cube - Simplify From Cubed Factors, Values and Variables, Radical Remaining Worksheet

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Radicals - Cube - Simplify From Cubed Factors, Values and Variables, Radical Remaining
1
Simplify the radical
A LaTex expression showing square root of 2 times 3 to the power of 2 times r to the power of 2 times r times
a A LaTex expression showing 5rsquare root of r
b A LaTex expression showing rsquare root of 5{r to the power of 2 }
c A LaTex expression showing 2rsquare root of 4r
d A LaTex expression showing 3rsquare root of 2r
e A LaTex expression showing 5rsquare root of 3r
2
Simplify the radical
A LaTex expression showing square root of 2 to the power of 2 times 5 times r times
a A LaTex expression showing 2square root of 5r
b A LaTex expression showing square root of 2{r to the power of 2 }
c A LaTex expression showing square root of {r to the power of 2 }
d A LaTex expression showing square root of 8{r to the power of 3 }
e A LaTex expression showing square root of 6r
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
a A LaTex expression showing {y} to the power of 2 square root of 3
b A LaTex expression showing 6ysquare root of 5
c A LaTex expression showing 4ysquare root of 5
d A LaTex expression showing 5{y} to the power of 2 square root of 4
e A LaTex expression showing 3ysquare root of 7
4
Simplify the radical
A LaTex expression showing square root of 2 times 5 to the power of 2 times x to the power of 2 times
a A LaTex expression showing {x} to the power of 2
b A LaTex expression showing 6x
c A LaTex expression showing 5xsquare root of 2
d A LaTex expression showing 4xsquare root of 5
5
Simplify the radical
A LaTex expression showing square root of 5 to the power of 2 times 11 times y to the power of 2 times y times
a A LaTex expression showing 3{y} to the power of 3 square root of 8y
b A LaTex expression showing 6ysquare root of 11y
c A LaTex expression showing 8{y} to the power of 3 square root of 9{y to the power of 2 }
d A LaTex expression showing 5ysquare root of 11y
6
Simplify the radical
A LaTex expression showing square root of 2 to the power of 2 times 2 to the power of 2 times 3 times p to the power of 2 times
a A LaTex expression showing 6psquare root of 2
b A LaTex expression showing 6psquare root of 4
c A LaTex expression showing 4psquare root of 3
d A LaTex expression showing 4psquare root of 6
e A LaTex expression showing {p} to the power of 3 square root of 5
7
Simplify the radical
A LaTex expression showing square root of 3 to the power of 2 times 7 times d to the power of 2 times
a A LaTex expression showing 3dsquare root of 7
b A LaTex expression showing 2{d} to the power of 3 square root of 4
c A LaTex expression showing dsquare root of 10
d A LaTex expression showing dsquare root of 9
8
Simplify the radical
A LaTex expression showing square root of 2 to the power of 2 times 2 to the power of 2 times 3 times d to the power of 2 times d times
a A LaTex expression showing 6{d} to the power of 2 square root of 3{d to the power of 3 }
b A LaTex expression showing 3dsquare root of 3d
c A LaTex expression showing dsquare root of 2d
d A LaTex expression showing 4dsquare root of 3d