Cube - Simplifying from Factors, Values only, Radical Remaining (Level 1)

This math topic focuses on simplifying cubic radicals involving factored integers. The problems present expressions under a radical that students are expected to simplify. Options for simplified forms are given, requiring students to correctly identify and calculate the cube roots of products of numbers. The topic aims to enhance skills in manipulating and simplifying radicals, particularly understanding how multiplication under the radical can be simplified based on the properties of cube roots. Each question presents a radical expression, and multiple choice answers are provided for students to select the correct simplified form.

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 only, Radical Remaining Worksheet

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Radicals - Cube - Simplifying from Factors, Values only, Radical Remaining
1
Simplify the radical
A LaTex expression showing square root of 2 times 2 times 2 times 2 times 2
a A LaTex expression showing 1
b A LaTex expression showing 2
c A LaTex expression showing square root of 2
d A LaTex expression showing 4square root of 2
e A LaTex expression showing 7
2
Simplify the radical
A LaTex expression showing square root of 3 times 5 times 5
a A LaTex expression showing 6
b A LaTex expression showing 5square root of 3
c A LaTex expression showing 6square root of 3
d A LaTex expression showing 2square root of 3
e A LaTex expression showing 3
3
Simplify the radical
A LaTex expression showing square root of 2 times 2 times 3
a A LaTex expression showing 5square root of 5
b A LaTex expression showing 2square root of 5
c A LaTex expression showing 2square root of 6
d A LaTex expression showing 5
e A LaTex expression showing 2square root of 3
4
Simplify the radical
A LaTex expression showing square root of 2 times 2 times 2 times 2 times 11
a A LaTex expression showing 4square root of 11
b A LaTex expression showing 5square root of 9
c A LaTex expression showing square root of 8
d A LaTex expression showing 4square root of 12
e A LaTex expression showing 7square root of 14
5
Simplify the radical
A LaTex expression showing square root of 2 times 2 times 7
a A LaTex expression showing square root of 7
b A LaTex expression showing 2square root of 8
c A LaTex expression showing 2square root of 7
d A LaTex expression showing 5square root of 3
e A LaTex expression showing square root of 5
6
Simplify the radical
A LaTex expression showing square root of 3 times 3 times 5
a A LaTex expression showing 2square root of 2
b A LaTex expression showing square root of 8
c A LaTex expression showing 3square root of 5
d A LaTex expression showing 2square root of 3
e A LaTex expression showing 3