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Radicals - Cube - Simplify From Cubed Factors, Values and Variables, Nothing Remaining (Level 1)

This math topic focuses on simplifying cube root radicals that involve numerical factors, values, and variables with no remaining factors under the radical once simplified. The problems are structured to practice extracting perfect cube factors from under the radical to simplify expressions. Each question is presented with multiple-choice answers, challenging the student to select the correct simplified form of the given radical expression. These problems are a subset of a broader unit dedicated to the practice of simplifying various radical expressions.

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, Nothing Remaining

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

Simplify the radical

22â‹…d2â‹…\sqrt{2^2\cdot d^2\cdot }

Radicals - Cube - Simplify From Cubed Factors, Values and Variables, Nothing Remaining Worksheet

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Math worksheet on 'Radicals - Cube - Simplify From Cubed Factors, Values and Variables, Nothing Remaining (Level 1)'. 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 2 to the power of 2 times c to the power of 2 times
a A LaTex expression showing c
b A LaTex expression showing 5csquare root of 3
c A LaTex expression showing 4csquare root of 4
d A LaTex expression showing {c} to the power of 3 square root of 3
e A LaTex expression showing 2{c} to the power of 3
f A LaTex expression showing 2c
2
Simplify the radical
A LaTex expression showing square root of 2 to the power of 2 times r to the power of 2 times
a A LaTex expression showing 3r
b A LaTex expression showing 3{r} to the power of 3 square root of 3
c A LaTex expression showing rsquare root of 2
d A LaTex expression showing r
e A LaTex expression showing 2r
f A LaTex expression showing {r} to the power of 3
3
Simplify the radical
A LaTex expression showing square root of 5 to the power of 2 times b to the power of 2 times
a A LaTex expression showing 5b
b A LaTex expression showing 7b
c A LaTex expression showing 3{b} to the power of 3
d A LaTex expression showing 3{b} to the power of 2 square root of 4
e A LaTex expression showing 5{b} to the power of 3
f A LaTex expression showing 6{b} to the power of 2
4
Simplify the radical
A LaTex expression showing square root of 5 to the power of 2 times r to the power of 2 times
a A LaTex expression showing 6rsquare root of 2
b A LaTex expression showing rsquare root of 4
c A LaTex expression showing 5r
d A LaTex expression showing 6r
e A LaTex expression showing 6{r} to the power of 3
f A LaTex expression showing 6{r} to the power of 2
5
Simplify the radical
A LaTex expression showing square root of 3 to the power of 2 times r to the power of 2 times
a A LaTex expression showing 6r
b A LaTex expression showing 4rsquare root of 3
c A LaTex expression showing 3{r} to the power of 3
d A LaTex expression showing r
e A LaTex expression showing 3r
f A LaTex expression showing {r} to the power of 3
6
Simplify the radical
A LaTex expression showing square root of 5 to the power of 2 times d to the power of 2 times
a A LaTex expression showing 5d
b A LaTex expression showing 3{d} to the power of 2 square root of 4
c A LaTex expression showing 6{d} to the power of 2
d A LaTex expression showing 2d
e A LaTex expression showing 3dsquare root of 2
f A LaTex expression showing 6dsquare root of 3
7
Simplify the radical
A LaTex expression showing square root of 5 to the power of 2 times n to the power of 2 times
a A LaTex expression showing 2nsquare root of 3
b A LaTex expression showing 6nsquare root of 4
c A LaTex expression showing 2n
d A LaTex expression showing 3{n} to the power of 2 square root of 3
e A LaTex expression showing 3{n} to the power of 3
f A LaTex expression showing 5n