Radicals - Cube - Simplifying, Values and Variables, Nothing Remaining (Level 2)

This math topic focuses on the simplification of cube root radicals involving numerical and variable expressions. It covers procedures where students practice solving cases where variables are raised to different powers under the radical sign, guiding them toward the correct simplified radical expression. Included are problems that combine both square roots and various powers of variables, challenging students to not only simplify but identify the remaining radical components, if any, after simplification. The described skills are presented in varying difficulty levels, deepening students' understanding of radical expressions and their 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

16z2\sqrt{16{z}^{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 2)'. Part of a broader unit on 'Radicals - Simplifying Practice' Learn online: app.mobius.academy/math/units/radicals_simplifying_practice/
1
Simplify the radical
A LaTex expression showing square root of 9{m to the power of 2 }
a A LaTex expression showing 5m
b A LaTex expression showing 3{m} to the power of 2 square root of 4
c A LaTex expression showing 6m
d A LaTex expression showing 3m
e A LaTex expression showing 2m
f A LaTex expression showing 3{m} to the power of 2
2
Simplify the radical
A LaTex expression showing square root of 4{n to the power of 4 }
a A LaTex expression showing {n} to the power of 4
b A LaTex expression showing n
c A LaTex expression showing 2n
d A LaTex expression showing 2{n} to the power of 2 square root of 3
e A LaTex expression showing 3{n} to the power of 2
f A LaTex expression showing 2{n} to the power of 2
3
Simplify the radical
A LaTex expression showing square root of 25{b to the power of 2 }
a A LaTex expression showing 4{b} to the power of 2
b A LaTex expression showing 5b
c A LaTex expression showing 3{b} to the power of 2
d A LaTex expression showing 8b
e A LaTex expression showing 6b
f A LaTex expression showing 8{b} to the power of 2
4
Simplify the radical
A LaTex expression showing square root of 25{r to the power of 4 }
a A LaTex expression showing 2{r} to the power of 2
b A LaTex expression showing 5{r} to the power of 2
c A LaTex expression showing 8{r} to the power of 4
d A LaTex expression showing 4{r} to the power of 2
e A LaTex expression showing 4r
f A LaTex expression showing {r} to the power of 2 square root of 4
5
Simplify the radical
A LaTex expression showing square root of 4{y to the power of 2 }
a A LaTex expression showing 3{y} to the power of 2
b A LaTex expression showing ysquare root of 3
c A LaTex expression showing 2{y} to the power of 3 square root of 3
d A LaTex expression showing 2y
e A LaTex expression showing 3ysquare root of 3
f A LaTex expression showing ysquare root of 2
6
Simplify the radical
A LaTex expression showing square root of 4{d to the power of 4 }
a A LaTex expression showing 5{d} to the power of 3
b A LaTex expression showing 5dsquare root of 2
c A LaTex expression showing 2{d} to the power of 2
d A LaTex expression showing {d} to the power of 3
e A LaTex expression showing {d} to the power of 3 square root of 3
f A LaTex expression showing 3{d} to the power of 4 square root of 4
7
Simplify the radical
A LaTex expression showing square root of 9{c to the power of 2 }
a A LaTex expression showing 3c
b A LaTex expression showing csquare root of 2
c A LaTex expression showing {c} to the power of 3 square root of 2
d A LaTex expression showing 3{c} to the power of 2
e A LaTex expression showing 2{c} to the power of 3
f A LaTex expression showing 3csquare root of 2