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Radicals - 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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Cube - Simplifying, Values and Variables, Nothing Remaining

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Simplify the radical

16r4n2\sqrt{16{r}^{4}{n}^{2}}

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

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Math worksheet on 'Radicals - Cube - Simplifying, Values and Variables, Nothing Remaining (Level 3)'. 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 16{z to the power of 2 {y} to the power of 4 }
a A LaTex expression showing 4z{y} to the power of 2
b A LaTex expression showing zy
c A LaTex expression showing 2z{y} to the power of 2
d A LaTex expression showing z{y} to the power of 2
e A LaTex expression showing 6zysquare root of 4
f A LaTex expression showing 2{z} to the power of 2 ysquare root of 2
2
Simplify the radical
A LaTex expression showing square root of 25{n to the power of 4 {r} to the power of 2 }
a A LaTex expression showing 5{n} to the power of 2 {r} to the power of 2
b A LaTex expression showing 8n{r} to the power of 2
c A LaTex expression showing 3{n} to the power of 3 r
d A LaTex expression showing 6{n} to the power of 4 {r} to the power of 2
e A LaTex expression showing 8{n} to the power of 3 rsquare root of 4
f A LaTex expression showing 5{n} to the power of 2 r
3
Simplify the radical
A LaTex expression showing square root of 25{r to the power of 4 {y} to the power of 2 }
a A LaTex expression showing 5{r} to the power of 2 y
b A LaTex expression showing 3{r} to the power of 2 ysquare root of 3
c A LaTex expression showing 4{r} to the power of 3 {y} to the power of 2 square root of 4
d A LaTex expression showing 3{r} to the power of 2 y
e A LaTex expression showing 2{r} to the power of 2 {y} to the power of 2 square root of 2
f A LaTex expression showing {r} to the power of 3 {y} to the power of 2
4
Simplify the radical
A LaTex expression showing square root of 16{x to the power of 4 {d} to the power of 4 }
a A LaTex expression showing 6{x} to the power of 3 d
b A LaTex expression showing 4{x} to the power of 2 {d} to the power of 2
c A LaTex expression showing {x} to the power of 3 {d} to the power of 3
d A LaTex expression showing {x} to the power of 4 d
e A LaTex expression showing x{d} to the power of 3
f A LaTex expression showing 3xd
5
Simplify the radical
A LaTex expression showing square root of 25{r to the power of 4 {p} to the power of 2 }
a A LaTex expression showing 6r{p} to the power of 2
b A LaTex expression showing 6{r} to the power of 3 psquare root of 2
c A LaTex expression showing 8r{p} to the power of 2
d A LaTex expression showing 5{r} to the power of 2 {p} to the power of 2
e A LaTex expression showing 5{r} to the power of 2 p
f A LaTex expression showing 3{r} to the power of 4 psquare root of 2
6
Simplify the radical
A LaTex expression showing square root of 16{x to the power of 4 {z} to the power of 4 }
a A LaTex expression showing 2{x} to the power of 4 {z} to the power of 4
b A LaTex expression showing 7{x} to the power of 3 {z} to the power of 3
c A LaTex expression showing 3{x} to the power of 4 zsquare root of 4
d A LaTex expression showing 6xz
e A LaTex expression showing 7{x} to the power of 2 {z} to the power of 3
f A LaTex expression showing 4{x} to the power of 2 {z} to the power of 2
7
Simplify the radical
A LaTex expression showing square root of 16{x to the power of 4 {z} to the power of 2 }
a A LaTex expression showing 2xz
b A LaTex expression showing 7{x} to the power of 3 z
c A LaTex expression showing 4{x} to the power of 2 z
d A LaTex expression showing 4x{z} to the power of 3
e A LaTex expression showing 2x{z} to the power of 2
f A LaTex expression showing 2{x} to the power of 4 zsquare root of 3