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.

more
View

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

Mobius Math Academy logo
Radicals - Cube - Simplifying, Values and Variables, Nothing Remaining
1
Simplify the radical
A LaTex expression showing square root of 9{n to the power of 2 }
a A LaTex expression showing 4{n} to the power of 3
b A LaTex expression showing 2{n} to the power of 3 square root of 3
c A LaTex expression showing 5n
d A LaTex expression showing 3{n} to the power of 3 square root of 2
e A LaTex expression showing 3n
2
Simplify the radical
A LaTex expression showing square root of 16{b to the power of 2 }
a A LaTex expression showing 4bsquare root of 2
b A LaTex expression showing 4b
c A LaTex expression showing 7b
d A LaTex expression showing 3{b} to the power of 3
e A LaTex expression showing bsquare root of 2
3
Simplify the radical
A LaTex expression showing square root of 4{m to the power of 2 }
a A LaTex expression showing 4m
b A LaTex expression showing m
c A LaTex expression showing {m} to the power of 2 square root of 4
d A LaTex expression showing 2m
4
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 3p
c A LaTex expression showing 7psquare root of 2
d A LaTex expression showing psquare root of 3
e A LaTex expression showing 4p
5
Simplify the radical
A LaTex expression showing square root of 4{c to the power of 2 }
a A LaTex expression showing {c} to the power of 3
b A LaTex expression showing c
c A LaTex expression showing csquare root of 4
d A LaTex expression showing 2c
6
Simplify the radical
A LaTex expression showing square root of 25{b to the power of 2 }
a A LaTex expression showing 7{b} to the power of 3
b A LaTex expression showing {b} to the power of 3
c A LaTex expression showing 4bsquare root of 3
d A LaTex expression showing 5b
e A LaTex expression showing 3b
7
Simplify the radical
A LaTex expression showing square root of 25{y to the power of 2 }
a A LaTex expression showing 4y
b A LaTex expression showing 5{y} to the power of 2
c A LaTex expression showing 2y
d A LaTex expression showing 4{y} to the power of 3
e A LaTex expression showing 5y
8
Simplify the radical
A LaTex expression showing square root of 9{x to the power of 2 }
a A LaTex expression showing 3xsquare root of 2
b A LaTex expression showing 5{x} to the power of 2
c A LaTex expression showing 3x
d A LaTex expression showing 6x
e A LaTex expression showing 5x