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

This math topic focuses on simplifying cube radicals involving factors, values, and variables, with some radicals remaining unsimplified. It presents multiple problems where students simplify expressions under cube roots containing integers and variables, then select the correct simplified form from a set of options. This practice helps develop skills in handling cube roots and combining like terms within radical expressions, crucial for higher-level algebra and pre-calculus studies.

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, Radical Remaining Worksheet

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Radicals - Cube - Simplifying from Factors, Values and Variables, Radical Remaining
1
Simplify the radical
A LaTex expression showing square root of 5 times 5 times 11 times x times x
a A LaTex expression showing 7xsquare root of 10
b A LaTex expression showing 5xsquare root of 11
c A LaTex expression showing 8{x} to the power of 2 square root of 8
d A LaTex expression showing 7xsquare root of 12
2
Simplify the radical
A LaTex expression showing square root of 2 times 2 times 11 times y times y times y
a A LaTex expression showing 2ysquare root of 11y
b A LaTex expression showing {y} to the power of 3 square root of 14y
c A LaTex expression showing 3{y} to the power of 3 square root of 11{y to the power of 3 }
d A LaTex expression showing 4ysquare root of 10{y to the power of 3 }
e A LaTex expression showing 2{y} to the power of 3 square root of 9y
3
Simplify the radical
A LaTex expression showing square root of 5 times 5 times 7 times z times z
a A LaTex expression showing {z} to the power of 3 square root of 6
b A LaTex expression showing 3{z} to the power of 3 square root of 10
c A LaTex expression showing 7zsquare root of 9
d A LaTex expression showing 5zsquare root of 7
e A LaTex expression showing 4{z} to the power of 2 square root of 10
4
Simplify the radical
A LaTex expression showing square root of 2 times 2 times 2 times 2 times 3 times c
a A LaTex expression showing 2square root of 3{c to the power of 2 }
b A LaTex expression showing 4square root of 3c
c A LaTex expression showing 6square root of 6c
d A LaTex expression showing 5square root of 5c
e A LaTex expression showing 7square root of 4c
5
Simplify the radical
A LaTex expression showing square root of 2 times 2 times 2 times 2 times 11 times y times y
a A LaTex expression showing 4ysquare root of 7
b A LaTex expression showing ysquare root of 8
c A LaTex expression showing ysquare root of 10
d A LaTex expression showing 4ysquare root of 11
e A LaTex expression showing 7ysquare root of 12
6
Simplify the radical
A LaTex expression showing square root of 2 times 2 times 3 times c
a A LaTex expression showing square root of c
b A LaTex expression showing 2square root of {c to the power of 3 }
c A LaTex expression showing 2square root of 3c
d A LaTex expression showing square root of 6c
e A LaTex expression showing 2square root of 6c
7
Simplify the radical
A LaTex expression showing square root of 3 times 3 times 5 times p times p
a A LaTex expression showing 3psquare root of 6
b A LaTex expression showing 3psquare root of 2
c A LaTex expression showing psquare root of 2
d A LaTex expression showing 3psquare root of 5
e A LaTex expression showing 5psquare root of 2
8
Simplify the radical
A LaTex expression showing square root of 5 times 5 times 5 times n times n
a A LaTex expression showing 7nsquare root of 4
b A LaTex expression showing 5n
c A LaTex expression showing 5nsquare root of 6
d A LaTex expression showing 7{n} to the power of 2 square root of 8
e A LaTex expression showing 5nsquare root of 5