Cube - Simplifying, Values and Variables, Radical Remaining (Level 1)

This math topic focuses on simplifying cube radicals with variables and constants. Problems involve breaking down radicals to their simplest form, engaging understanding of algebraic expressions involving powers and roots. Each question presents a radical expression and multiple-choice answers that test the student’s ability to simplify expressions and manage the remaining radicals accurately. Skills practiced include understanding the properties of exponents and roots, manipulating algebraic expressions, and critical thinking in identifying the correct simplified form of given radical expressions.

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

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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 63b
a A LaTex expression showing 4square root of 10b
b A LaTex expression showing 3square root of 7b
c A LaTex expression showing square root of 10b
d A LaTex expression showing square root of 5{b to the power of 2 }
e A LaTex expression showing square root of 3{b to the power of 3 }
2
Simplify the radical
A LaTex expression showing square root of 44{m to the power of 3 }
a A LaTex expression showing msquare root of 13{m to the power of 3 }
b A LaTex expression showing 2msquare root of 9{m to the power of 3 }
c A LaTex expression showing msquare root of 7{m to the power of 3 }
d A LaTex expression showing 2msquare root of 11m
e A LaTex expression showing 2msquare root of 14m
3
Simplify the radical
A LaTex expression showing square root of 75c
a A LaTex expression showing 4square root of 3c
b A LaTex expression showing 4square root of {c to the power of 3 }
c A LaTex expression showing 5square root of 3c
d A LaTex expression showing 2square root of 3c
e A LaTex expression showing 7square root of 4c
4
Simplify the radical
A LaTex expression showing square root of 50{z to the power of 2 }
a A LaTex expression showing 5zsquare root of 5
b A LaTex expression showing 4zsquare root of 2
c A LaTex expression showing 6{z} to the power of 2
d A LaTex expression showing 4{z} to the power of 2
e A LaTex expression showing 5zsquare root of 2
5
Simplify the radical
A LaTex expression showing square root of 12{y to the power of 3 }
a A LaTex expression showing {y} to the power of 2 square root of 5y
b A LaTex expression showing 4ysquare root of {y to the power of 3 }
c A LaTex expression showing ysquare root of {y to the power of 3 }
d A LaTex expression showing 2ysquare root of 3y
e A LaTex expression showing ysquare root of 2{y to the power of 3 }
6
Simplify the radical
A LaTex expression showing square root of 50{n to the power of 3 }
a A LaTex expression showing 4{n} to the power of 2 square root of n
b A LaTex expression showing 5nsquare root of 2n
c A LaTex expression showing 2nsquare root of n
d A LaTex expression showing 3nsquare root of 4n
e A LaTex expression showing 4nsquare root of 5n
7
Simplify the radical
A LaTex expression showing square root of 176{n to the power of 3 }
a A LaTex expression showing {n} to the power of 2 square root of 12n
b A LaTex expression showing 4nsquare root of 11n
c A LaTex expression showing 3{n} to the power of 3 square root of 14{n to the power of 3 }
d A LaTex expression showing 5nsquare root of 10{n to the power of 2 }
e A LaTex expression showing 7nsquare root of 11{n to the power of 2 }
8
Simplify the radical
A LaTex expression showing square root of 176r
a A LaTex expression showing 3square root of 11{r to the power of 2 }
b A LaTex expression showing square root of 13{r to the power of 2 }
c A LaTex expression showing 3square root of 8{r to the power of 2 }
d A LaTex expression showing 4square root of 11r
e A LaTex expression showing 6square root of 10{r to the power of 3 }