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
Math worksheet on 'Radicals - Cube - Simplifying, Values and Variables, Nothing Remaining (Level 1)'. 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 9{y to the power of 2 }
a A LaTex expression showing 5y
b A LaTex expression showing 3y
c A LaTex expression showing {y} to the power of 2 square root of 3
d A LaTex expression showing ysquare root of 4
e A LaTex expression showing {y} to the power of 2
2
Simplify the radical
A LaTex expression showing square root of 25{z to the power of 2 }
a A LaTex expression showing 5{z} to the power of 2
b A LaTex expression showing 4zsquare root of 4
c A LaTex expression showing 5z
d A LaTex expression showing 7z
e A LaTex expression showing 3zsquare root of 3
3
Simplify the radical
A LaTex expression showing square root of 9{n to the power of 2 }
a A LaTex expression showing 3{n} to the power of 3 square root of 2
b A LaTex expression showing 3n
c A LaTex expression showing 5n
d A LaTex expression showing 2{n} to the power of 3 square root of 3
e A LaTex expression showing 4{n} to the power of 3
4
Simplify the radical
A LaTex expression showing square root of 25{m to the power of 2 }
a A LaTex expression showing m
b A LaTex expression showing 5m
c A LaTex expression showing 5{m} to the power of 3 square root of 3
d A LaTex expression showing {m} to the power of 2 square root of 2
5
Simplify the radical
A LaTex expression showing square root of 4{d to the power of 2 }
a A LaTex expression showing 3{d} to the power of 2 square root of 2
b A LaTex expression showing {d} to the power of 2
c A LaTex expression showing d
d A LaTex expression showing 2{d} to the power of 2 square root of 4
e A LaTex expression showing 2d
6
Simplify the radical
A LaTex expression showing square root of 25{y to the power of 2 }
a A LaTex expression showing 5y
b A LaTex expression showing 4y
c A LaTex expression showing 4{y} to the power of 3
d A LaTex expression showing 5{y} to the power of 2
e A LaTex expression showing 2y
7
Simplify the radical
A LaTex expression showing square root of 25{c to the power of 2 }
a A LaTex expression showing 4{c} to the power of 3
b A LaTex expression showing 5c
c A LaTex expression showing 6csquare root of 2
d A LaTex expression showing 2c
e A LaTex expression showing 6{c} to the power of 2 square root of 4