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Radicals - Cube - Simplify From Cubed Factors, Values and Variables, Radical Remaining (Level 2)

This math topic involves practicing the simplification of cube radicals involving factors, values, and variables, while a radical remains un-simplified in some cases. Students engage with problems requiring them to break down and simplify expressions containing both numerical and algebraic elements under a cube root. Correct answers are provided in multiple-choice format, challenging students to identify the fully simplified form of the radical expression. Each question presents a different configuration of bases and exponents, promoting the application of rules for exponents and radicals in various scenarios.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

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Cube - Simplify From Cubed Factors, Values and Variables, Radical Remaining

Complete these online problems with 80% or 4 correct answers in a row. Results are immediate.

Simplify the radical

22â‹…7â‹…r2â‹…\sqrt{2^2\cdot 7\cdot r^2\cdot }

Radicals - Cube - Simplify From Cubed Factors, Values and Variables, Radical Remaining Worksheet

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Math worksheet on 'Radicals - Cube - Simplify From Cubed Factors, Values and Variables, Radical 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 3 to the power of 2 times 3 times p times
a A LaTex expression showing 6square root of 5p
b A LaTex expression showing 5square root of 3{p to the power of 2 }
c A LaTex expression showing 2square root of 5{p to the power of 2 }
d A LaTex expression showing 6square root of p
e A LaTex expression showing 3square root of 3{p to the power of 2 }
f A LaTex expression showing 3square root of 3p
2
Simplify the radical
A LaTex expression showing square root of 2 to the power of 2 times 5 times z times
a A LaTex expression showing square root of 7z
b A LaTex expression showing square root of 5{z to the power of 3 }
c A LaTex expression showing square root of 6z
d A LaTex expression showing square root of 4z
e A LaTex expression showing 2square root of 5z
f A LaTex expression showing 3square root of 6z
3
Simplify the radical
A LaTex expression showing square root of 5 to the power of 2 times 7 times y to the power of 2 times y times
a A LaTex expression showing 2ysquare root of 10y
b A LaTex expression showing 5ysquare root of 7y
c A LaTex expression showing 6ysquare root of 5{y to the power of 3 }
d A LaTex expression showing 4ysquare root of 8y
e A LaTex expression showing 7{y} to the power of 3 square root of 10y
f A LaTex expression showing ysquare root of 10y
4
Simplify the radical
A LaTex expression showing square root of 3 to the power of 2 times 7 times y to the power of 2 times y to the power of 2 times y times
a A LaTex expression showing 2{y} to the power of 2 square root of 3y
b A LaTex expression showing 2ysquare root of 9y
c A LaTex expression showing 2{y} to the power of 3 square root of 9y
d A LaTex expression showing 6ysquare root of 9y
e A LaTex expression showing 6ysquare root of 7y
f A LaTex expression showing 3{y} to the power of 2 square root of 7y
5
Simplify the radical
A LaTex expression showing square root of 2 to the power of 2 times 5 times y to the power of 2 times y times
a A LaTex expression showing 2{y} to the power of 3 square root of 5y
b A LaTex expression showing 4ysquare root of 6{y to the power of 3 }
c A LaTex expression showing 2ysquare root of 5y
d A LaTex expression showing 2{y} to the power of 2 square root of 2y
e A LaTex expression showing {y} to the power of 3 square root of 4y
f A LaTex expression showing 3{y} to the power of 2 square root of 5y
6
Simplify the radical
A LaTex expression showing square root of 3 times 5 to the power of 2 times m to the power of 2 times m to the power of 2 times
a A LaTex expression showing 4{m} to the power of 4
b A LaTex expression showing 5{m} to the power of 2 square root of 3
c A LaTex expression showing 5{m} to the power of 2
d A LaTex expression showing 8msquare root of 2
e A LaTex expression showing 5{m} to the power of 4 square root of 2
f A LaTex expression showing 7{m} to the power of 2
7
Simplify the radical
A LaTex expression showing square root of 2 to the power of 2 times 7 times y times
a A LaTex expression showing 2square root of 7y
b A LaTex expression showing 3square root of 7y
c A LaTex expression showing 5square root of 8{y to the power of 3 }
d A LaTex expression showing 5square root of 10y
e A LaTex expression showing square root of 7{y to the power of 2 }
f A LaTex expression showing square root of 10y