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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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{x to the power of 2 {c} to the power of 2 }
a A LaTex expression showing 2x{c} to the power of 3
b A LaTex expression showing {x} to the power of 2 c
c A LaTex expression showing x{c} to the power of 2 square root of 3
d A LaTex expression showing 4xc
e A LaTex expression showing xcsquare root of 4
2
Simplify the radical
A LaTex expression showing square root of 16{c to the power of 4 {r} to the power of 2 }
a A LaTex expression showing 7{c} to the power of 3 r
b A LaTex expression showing crsquare root of 2
c A LaTex expression showing 5{c} to the power of 4 {r} to the power of 3 square root of 3
d A LaTex expression showing 7{c} to the power of 2 {r} to the power of 3
e A LaTex expression showing 4{c} to the power of 2 r
3
Simplify the radical
A LaTex expression showing square root of 16{p to the power of 4 {b} to the power of 2 }
a A LaTex expression showing {p} to the power of 2 bsquare root of 4
b A LaTex expression showing 6{p} to the power of 2 b
c A LaTex expression showing 6{p} to the power of 3 {b} to the power of 3 square root of 2
d A LaTex expression showing 4{p} to the power of 2 b
e A LaTex expression showing 5pb
4
Simplify the radical
A LaTex expression showing square root of 4{x to the power of 2 {b} to the power of 4 }
a A LaTex expression showing 5x{b} to the power of 2
b A LaTex expression showing 2x{b} to the power of 2
c A LaTex expression showing {x} to the power of 3 {b} to the power of 4
d A LaTex expression showing 4{x} to the power of 2 {b} to the power of 3 square root of 2
e A LaTex expression showing x{b} to the power of 3 square root of 2
5
Simplify the radical
A LaTex expression showing square root of 4{b to the power of 2 {d} to the power of 2 }
a A LaTex expression showing 2bd
b A LaTex expression showing {b} to the power of 3 d
c A LaTex expression showing bd
d A LaTex expression showing {b} to the power of 2 d
e A LaTex expression showing 3{b} to the power of 2 {d} to the power of 3
6
Simplify the radical
A LaTex expression showing square root of 25{y to the power of 4 {x} to the power of 2 }
a A LaTex expression showing {y} to the power of 3 xsquare root of 3
b A LaTex expression showing 8yx
c A LaTex expression showing 6{y} to the power of 2 {x} to the power of 2
d A LaTex expression showing y{x} to the power of 2
e A LaTex expression showing 5{y} to the power of 2 x
7
Simplify the radical
A LaTex expression showing square root of 25{p to the power of 2 {y} to the power of 2 }
a A LaTex expression showing 6py
b A LaTex expression showing 8pysquare root of 4
c A LaTex expression showing 4{p} to the power of 3 ysquare root of 2
d A LaTex expression showing 5py
e A LaTex expression showing 8p{y} to the power of 2 square root of 4