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

This math topic focuses on simplifying cube radicals involving factors, values, and variables, ensuring there is nothing remaining after the simplification process. It offers a series of questions that require one to simplify expressions containing powers and products of variables and constants under a cube root. Each question provides multiple answer choices in the form of simplified expressions, challenging the understanding of radical simplification involving basic algebraic manipulation skills. The topic is a part of a broader unit designed to help students practice and master the simplification of radicals.

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

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Radicals - Cube - Simplifying from Factors, Values and Variables, Nothing Remaining Worksheet

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Radicals - Cube - Simplifying from Factors, Values and Variables, Nothing Remaining
1
Simplify the radical
A LaTex expression showing square root of 2 times 2 times y times y times y times y
a A LaTex expression showing 2{y} to the power of 2
b A LaTex expression showing y
c A LaTex expression showing 2{y} to the power of 4
d A LaTex expression showing {y} to the power of 4
e A LaTex expression showing 2{y} to the power of 4 square root of 2
2
Simplify the radical
A LaTex expression showing square root of 5 times 5 times b times b times b times b
a A LaTex expression showing 3{b} to the power of 2
b A LaTex expression showing 5{b} to the power of 2 square root of 3
c A LaTex expression showing 5{b} to the power of 2
d A LaTex expression showing 4b
e A LaTex expression showing 5b
3
Simplify the radical
A LaTex expression showing square root of 5 times 5 times y times y times y times y
a A LaTex expression showing 7ysquare root of 2
b A LaTex expression showing 3y
c A LaTex expression showing 5{y} to the power of 2
d A LaTex expression showing {y} to the power of 3
e A LaTex expression showing 2{y} to the power of 4
4
Simplify the radical
A LaTex expression showing square root of 2 times 2 times 2 times 2 times p times p times p times p
a A LaTex expression showing 4{p} to the power of 2
b A LaTex expression showing 2p
c A LaTex expression showing 7p
d A LaTex expression showing {p} to the power of 2
e A LaTex expression showing {p} to the power of 3 square root of 3
5
Simplify the radical
A LaTex expression showing square root of 2 times 2 times x times x
a A LaTex expression showing 4xsquare root of 4
b A LaTex expression showing 2x
c A LaTex expression showing xsquare root of 4
d A LaTex expression showing xsquare root of 2
e A LaTex expression showing 5{x} to the power of 2 square root of 2
6
Simplify the radical
A LaTex expression showing square root of 5 times 5 times y times y
a A LaTex expression showing 2{y} to the power of 2
b A LaTex expression showing 3{y} to the power of 2 square root of 4
c A LaTex expression showing 7y
d A LaTex expression showing 4y
e A LaTex expression showing 5y
7
Simplify the radical
A LaTex expression showing square root of 5 times 5 times p times p
a A LaTex expression showing 3p
b A LaTex expression showing 4{p} to the power of 3
c A LaTex expression showing 7{p} to the power of 2
d A LaTex expression showing 5p
8
Simplify the radical
A LaTex expression showing square root of 3 times 3 times m times m
a A LaTex expression showing 6msquare root of 3
b A LaTex expression showing msquare root of 2
c A LaTex expression showing 3m
d A LaTex expression showing {m} to the power of 2 square root of 4
e A LaTex expression showing 4{m} to the power of 2