Cube - Simplifying, Values and Variables, Nothing Remaining (Level 3)

This math topic focuses on advanced simplification of cube radicals involving both values and variables with no remaining radicals after simplification. It contains problems that ask students to simplify radical expressions involving perfect cubes and varying powers of variables. Each question provides multiple answer choices, requiring the student to perform calculations to identify the correct simplified form. This set of problems is designed to enhance proficiency in handling cube roots and algebraic manipulation.

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, Nothing Remaining Worksheet

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Radicals - Cube - Simplifying, Values and Variables, Nothing Remaining
1
Simplify the radical
A LaTex expression showing square root of 25{b to the power of 4 {y} to the power of 4 }
a A LaTex expression showing 4{b} to the power of 2 y
b A LaTex expression showing {b} to the power of 2 {y} to the power of 4
c A LaTex expression showing 8{b} to the power of 4 {y} to the power of 2
d A LaTex expression showing 6{b} to the power of 2 ysquare root of 2
e A LaTex expression showing 5{b} to the power of 2 {y} to the power of 2
2
Simplify the radical
A LaTex expression showing square root of 9{z to the power of 4 {m} to the power of 2 }
a A LaTex expression showing 3z{m} to the power of 3
b A LaTex expression showing 6{z} to the power of 4 {m} to the power of 2
c A LaTex expression showing zmsquare root of 4
d A LaTex expression showing 3{z} to the power of 2 m
e A LaTex expression showing 6zm
3
Simplify the radical
A LaTex expression showing square root of 16{d to the power of 4 {b} to the power of 2 }
a A LaTex expression showing {d} to the power of 2 {b} to the power of 2
b A LaTex expression showing 2{d} to the power of 4 {b} to the power of 3
c A LaTex expression showing 4{d} to the power of 2 b
d A LaTex expression showing 3{d} to the power of 3 b
e A LaTex expression showing 3d{b} to the power of 2 square root of 2
4
Simplify the radical
A LaTex expression showing square root of 9{b to the power of 2 {m} to the power of 2 }
a A LaTex expression showing bmsquare root of 3
b A LaTex expression showing 4{b} to the power of 2 msquare root of 2
c A LaTex expression showing 3bm
d A LaTex expression showing {b} to the power of 3 {m} to the power of 2 square root of 2
e A LaTex expression showing {b} to the power of 3 msquare root of 2
5
Simplify the radical
A LaTex expression showing square root of 4{m to the power of 2 {d} to the power of 4 }
a A LaTex expression showing 2m{d} to the power of 2
b A LaTex expression showing 2{m} to the power of 3 d
c A LaTex expression showing 3m{d} to the power of 2
d A LaTex expression showing 4m{d} to the power of 4 square root of 3
e A LaTex expression showing 4m{d} to the power of 3
6
Simplify the radical
A LaTex expression showing square root of 9{p to the power of 2 {z} to the power of 2 }
a A LaTex expression showing 3pz
b A LaTex expression showing 5pz
c A LaTex expression showing 4{p} to the power of 3 z
d A LaTex expression showing 6{p} to the power of 3 z
e A LaTex expression showing 6{p} to the power of 3 {z} to the power of 2
7
Simplify the radical
A LaTex expression showing square root of 16{x to the power of 4 {n} to the power of 4 }
a A LaTex expression showing 5{x} to the power of 2 {n} to the power of 4
b A LaTex expression showing 5{x} to the power of 2 n
c A LaTex expression showing 4{x} to the power of 2 {n} to the power of 2
d A LaTex expression showing 4{x} to the power of 3 nsquare root of 4
e A LaTex expression showing {x} to the power of 4 nsquare root of 3
8
Simplify the radical
A LaTex expression showing square root of 16{p to the power of 2 {r} to the power of 2 }
a A LaTex expression showing prsquare root of 4
b A LaTex expression showing pr
c A LaTex expression showing 6pr
d A LaTex expression showing 4pr