Cube - Simplify From Cubed Factors, Values and Variables, Radical Remaining (Level 2)

This math topic involves practicing the simplification of cube radicals involving factors, values, and variables, while a radical remains un-simplified in some cases. Students engage with problems requiring them to break down and simplify expressions containing both numerical and algebraic elements under a cube root. Correct answers are provided in multiple-choice format, challenging students to identify the fully simplified form of the radical expression. Each question presents a different configuration of bases and exponents, promoting the application of rules for exponents and radicals in various scenarios.

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

more
View

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

Mobius Math Academy logo
Radicals - Cube - Simplify From Cubed Factors, Values and Variables, Radical Remaining
1
Simplify the radical
A LaTex expression showing square root of 5 to the power of 2 times 11 times d times
a A LaTex expression showing 5square root of 11d
b A LaTex expression showing 7square root of 7{d to the power of 2 }
c A LaTex expression showing 4square root of 13{d to the power of 3 }
d A LaTex expression showing 2square root of 10{d to the power of 3 }
e A LaTex expression showing 2square root of 10d
2
Simplify the radical
A LaTex expression showing square root of 2 times 5 to the power of 2 times y to the power of 2 times y times
a A LaTex expression showing 2ysquare root of 5{y to the power of 3 }
b A LaTex expression showing 7ysquare root of 3y
c A LaTex expression showing 5ysquare root of 2y
d A LaTex expression showing 3ysquare root of 3{y to the power of 3 }
e A LaTex expression showing ysquare root of y
3
Simplify the radical
A LaTex expression showing square root of 5 to the power of 2 times 5 times d to the power of 2 times d to the power of 2 times
a A LaTex expression showing 8{d} to the power of 3 square root of 4
b A LaTex expression showing 3d
c A LaTex expression showing 4{d} to the power of 4 square root of 3
d A LaTex expression showing 5{d} to the power of 2 square root of 5
e A LaTex expression showing 8{d} to the power of 4 square root of 8
4
Simplify the radical
A LaTex expression showing square root of 2 to the power of 2 times 2 to the power of 2 times 5 times x times
a A LaTex expression showing square root of 6{x to the power of 2 }
b A LaTex expression showing 5square root of 8x
c A LaTex expression showing 6square root of 7{x to the power of 3 }
d A LaTex expression showing 6square root of 8{x to the power of 2 }
e A LaTex expression showing 4square root of 5x
5
Simplify the radical
A LaTex expression showing square root of 3 to the power of 2 times 11 times m times
a A LaTex expression showing square root of 14m
b A LaTex expression showing 6square root of 11{m to the power of 2 }
c A LaTex expression showing square root of 12{m to the power of 3 }
d A LaTex expression showing 3square root of 11m
e A LaTex expression showing 6square root of 11m
6
Simplify the radical
A LaTex expression showing square root of 2 to the power of 2 times 5 times b to the power of 2 times b to the power of 2 times b times
a A LaTex expression showing 3bsquare root of b
b A LaTex expression showing 2{b} to the power of 3 square root of 7{b to the power of 3 }
c A LaTex expression showing 2{b} to the power of 2 square root of 5b
d A LaTex expression showing {b} to the power of 2 square root of 2b
e A LaTex expression showing bsquare root of 5{b to the power of 2 }
7
Simplify the radical
A LaTex expression showing square root of 2 to the power of 2 times 3 times p to the power of 2 times p to the power of 2 times p times
a A LaTex expression showing 4{p} to the power of 2 square root of p
b A LaTex expression showing psquare root of 3{p to the power of 3 }
c A LaTex expression showing {p} to the power of 3 square root of 3p
d A LaTex expression showing 2{p} to the power of 2 square root of 3p
e A LaTex expression showing psquare root of 4{p to the power of 2 }
8
Simplify the radical
A LaTex expression showing square root of 2 to the power of 2 times 11 times x to the power of 2 times
a A LaTex expression showing xsquare root of 7
b A LaTex expression showing xsquare root of 13
c A LaTex expression showing xsquare root of 11
d A LaTex expression showing 2xsquare root of 11
e A LaTex expression showing {x} to the power of 2 square root of 13