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Radicals - 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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Cube - Simplifying from 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

2â‹…2â‹…11â‹…câ‹…c\sqrt{2\cdot 2\cdot 11\cdot c\cdot c}

Radicals - Cube - Simplifying from Factors, Values and Variables, Radical Remaining Worksheet

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