Cube - Simplifying from Factors, Values and Variables, Nothing Remaining (Level 1)

This math topic focuses on simplifying cube radicals involving factors, values, and variables, with no remaining radicals. Students get to practice manipulating algebraic expressions under cube roots, extracting and simplifying them using multiplication and combination of exponents and coefficients. Each problem presents a radical expression that needs to be simplified, with multiple-choice answers provided for students to select from, enhancing their skills in dealing with cube roots and variable expressions.

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

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

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Radicals - Cube - Simplifying from Factors, Values and Variables, Nothing Remaining
1
Simplify the radical
A LaTex expression showing square root of 3 times 3 times r times r
a A LaTex expression showing {r} to the power of 3
b A LaTex expression showing 5{r} to the power of 3 square root of 4
c A LaTex expression showing 4rsquare root of 4
d A LaTex expression showing r
e A LaTex expression showing 3r
2
Simplify the radical
A LaTex expression showing square root of 3 times 3 times c times c
a A LaTex expression showing 2{c} to the power of 2
b A LaTex expression showing 2c
c A LaTex expression showing csquare root of 3
d A LaTex expression showing 3c
e A LaTex expression showing 5{c} to the power of 3
3
Simplify the radical
A LaTex expression showing square root of 2 times 2 times r times r
a A LaTex expression showing r
b A LaTex expression showing rsquare root of 3
c A LaTex expression showing 4rsquare root of 2
d A LaTex expression showing 2r
4
Simplify the radical
A LaTex expression showing square root of 2 times 2 times b times b
a A LaTex expression showing {b} to the power of 3 square root of 3
b A LaTex expression showing 2b
c A LaTex expression showing 4b
d A LaTex expression showing b
5
Simplify the radical
A LaTex expression showing square root of 5 times 5 times c times c
a A LaTex expression showing 3c
b A LaTex expression showing 4{c} to the power of 2 square root of 3
c A LaTex expression showing 5c
d A LaTex expression showing 4csquare root of 2
e A LaTex expression showing 4c
6
Simplify the radical
A LaTex expression showing square root of 5 times 5 times z times z
a A LaTex expression showing 5z
b A LaTex expression showing 8zsquare root of 4
c A LaTex expression showing 3z
d A LaTex expression showing 8{z} to the power of 3
e A LaTex expression showing zsquare root of 2
7
Simplify the radical
A LaTex expression showing square root of 3 times 3 times x times x
a A LaTex expression showing xsquare root of 4
b A LaTex expression showing 3x
c A LaTex expression showing {x} to the power of 3 square root of 4
d A LaTex expression showing 4x
e A LaTex expression showing 5xsquare root of 4
8
Simplify the radical
A LaTex expression showing square root of 3 times 3 times n times n
a A LaTex expression showing 5{n} to the power of 2
b A LaTex expression showing 5{n} to the power of 3 square root of 2
c A LaTex expression showing n
d A LaTex expression showing 6n
e A LaTex expression showing 3n