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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‹…2â‹…2â‹…5â‹…b\sqrt{2\cdot 2\cdot 2\cdot 2\cdot 5\cdot b}

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 3 times b times b
a A LaTex expression showing 2bsquare root of 3
b A LaTex expression showing 5b
c A LaTex expression showing b
d A LaTex expression showing 3b
e A LaTex expression showing 4{b} to the power of 2 square root of 4
f A LaTex expression showing bsquare root of 6
2
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 square root of {y to the power of 3 }
c A LaTex expression showing 4square root of 4y
d A LaTex expression showing 5square root of 2{y to the power of 3 }
e A LaTex expression showing 2square root of {y to the power of 3 }
f A LaTex expression showing 2square root of 3y
3
Simplify the radical
A LaTex expression showing square root of 2 times 2 times 2 times p
a A LaTex expression showing 5square root of 2p
b A LaTex expression showing 3square root of p
c A LaTex expression showing square root of p
d A LaTex expression showing 2square root of 2p
e A LaTex expression showing 5square root of p
f A LaTex expression showing 4square root of 3p
4
Simplify the radical
A LaTex expression showing square root of 2 times 2 times 7 times p times p times p
a A LaTex expression showing 4psquare root of 6{p to the power of 3 }
b A LaTex expression showing 2psquare root of 7p
c A LaTex expression showing 3{p} to the power of 3 square root of 10{p to the power of 3 }
d A LaTex expression showing {p} to the power of 3 square root of 7{p to the power of 3 }
e A LaTex expression showing {p} to the power of 2 square root of 10p
f A LaTex expression showing 4psquare root of 10{p to the power of 3 }
5
Simplify the radical
A LaTex expression showing square root of 3 times 5 times 5 times x
a A LaTex expression showing 5square root of 2{x to the power of 2 }
b A LaTex expression showing 4square root of 5{x to the power of 2 }
c A LaTex expression showing 5square root of 3x
d A LaTex expression showing 3square root of {x to the power of 2 }
e A LaTex expression showing 7square root of 6x
f A LaTex expression showing 8square root of 5{x to the power of 3 }
6
Simplify the radical
A LaTex expression showing square root of 2 times 2 times 2 times n
a A LaTex expression showing 2square root of 2n
b A LaTex expression showing square root of 4{n to the power of 2 }
c A LaTex expression showing square root of 5{n to the power of 3 }
d A LaTex expression showing 3square root of 2n
e A LaTex expression showing square root of n
f A LaTex expression showing square root of 5n
7
Simplify the radical
A LaTex expression showing square root of 3 times 3 times 5 times d
a A LaTex expression showing 2square root of 3d
b A LaTex expression showing 3square root of 2{d to the power of 2 }
c A LaTex expression showing square root of {d to the power of 3 }
d A LaTex expression showing 3square root of 5d
e A LaTex expression showing 6square root of 3{d to the power of 3 }
f A LaTex expression showing 3square root of 8{d to the power of 3 }