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.

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Cube - Simplifying, Values and Variables, Nothing Remaining

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Simplify the radical

4m4n2\sqrt{4{m}^{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 9{y to the power of 2 {c} to the power of 2 }
a A LaTex expression showing 3yc
b A LaTex expression showing yc
c A LaTex expression showing 2{y} to the power of 3 c
d A LaTex expression showing 4ycsquare root of 2
e A LaTex expression showing 6yc
f A LaTex expression showing 5{y} to the power of 3 c
2
Simplify the radical
A LaTex expression showing square root of 25{m to the power of 2 {y} to the power of 2 }
a A LaTex expression showing 7m{y} to the power of 2
b A LaTex expression showing 7{m} to the power of 2 {y} to the power of 2 square root of 3
c A LaTex expression showing 7{m} to the power of 2 {y} to the power of 2
d A LaTex expression showing 5my
e A LaTex expression showing my
f A LaTex expression showing 7{m} to the power of 2 y
3
Simplify the radical
A LaTex expression showing square root of 9{z to the power of 2 {n} to the power of 4 }
a A LaTex expression showing 3zn
b A LaTex expression showing 3{z} to the power of 3 n
c A LaTex expression showing {z} to the power of 2 {n} to the power of 2
d A LaTex expression showing 3z{n} to the power of 2
e A LaTex expression showing 2{z} to the power of 2 n
f A LaTex expression showing zn
4
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 3{r} to the power of 2 y
b A LaTex expression showing 5{r} to the power of 2 y
c A LaTex expression showing 2{r} to the power of 2 {y} to the power of 2 square root of 2
d A LaTex expression showing {r} to the power of 3 {y} to the power of 2
e A LaTex expression showing 4{r} to the power of 3 {y} to the power of 2 square root of 4
f A LaTex expression showing 3{r} to the power of 2 ysquare root of 3
5
Simplify the radical
A LaTex expression showing square root of 4{d to the power of 2 {n} to the power of 4 }
a A LaTex expression showing 2d{n} to the power of 2
b A LaTex expression showing 4{d} to the power of 2 nsquare root of 4
c A LaTex expression showing d{n} to the power of 2
d A LaTex expression showing d{n} to the power of 2 square root of 2
e A LaTex expression showing 4d{n} to the power of 4
f A LaTex expression showing dn
6
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 6zysquare root of 4
d A LaTex expression showing z{y} to the power of 2
e A LaTex expression showing 2z{y} to the power of 2
f A LaTex expression showing 2{z} to the power of 2 ysquare root of 2
7
Simplify the radical
A LaTex expression showing square root of 25{c to the power of 4 {b} to the power of 4 }
a A LaTex expression showing 8{c} to the power of 4 {b} to the power of 3
b A LaTex expression showing cb
c A LaTex expression showing 5{c} to the power of 2 {b} to the power of 2
d A LaTex expression showing 6c{b} to the power of 3
e A LaTex expression showing 5cb
f A LaTex expression showing 5{c} to the power of 4 bsquare root of 2