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Radicals - Cube - Simplifying, Values and Variables, Radical Remaining (Level 2)

This math topic focuses on simplifying cube radicals involving numbers and variables, covering various levels of complexity. Each question presents a radical expression, and multiple choice answers demonstrate different ways the radical can be simplified. The tasks primarily test the ability to manipulate and simplify radicals that include algebraic expressions, emphasizing the assessment and application of simplifying techniques in these contexts.

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

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Cube - Simplifying, Values and Variables, Radical Remaining

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Simplify the radical

125y\sqrt{125y}

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

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Math worksheet on 'Radicals - Cube - Simplifying, Values and Variables, Radical Remaining (Level 2)'. 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 63n
a A LaTex expression showing square root of 9n
b A LaTex expression showing 4square root of 4{n to the power of 2 }
c A LaTex expression showing square root of 3{n to the power of 3 }
d A LaTex expression showing 3square root of 7n
e A LaTex expression showing 6square root of 3{n to the power of 2 }
f A LaTex expression showing 2square root of 8{n to the power of 3 }
2
Simplify the radical
A LaTex expression showing square root of 32{n to the power of 4 }
a A LaTex expression showing 2{n} to the power of 4 square root of 3
b A LaTex expression showing {n} to the power of 4
c A LaTex expression showing 6{n} to the power of 3 square root of 4
d A LaTex expression showing 4{n} to the power of 2 square root of 2
e A LaTex expression showing 6{n} to the power of 3 square root of 5
f A LaTex expression showing 5n
3
Simplify the radical
A LaTex expression showing square root of 48{y to the power of 4 }
a A LaTex expression showing 4{y} to the power of 2 square root of 3
b A LaTex expression showing 6y
c A LaTex expression showing 5ysquare root of 4
d A LaTex expression showing ysquare root of 2
e A LaTex expression showing 4y
f A LaTex expression showing 7y
4
Simplify the radical
A LaTex expression showing square root of 28{y to the power of 5 }
a A LaTex expression showing ysquare root of 8{y to the power of 3 }
b A LaTex expression showing 2{y} to the power of 2 square root of 6{y to the power of 2 }
c A LaTex expression showing 3{y} to the power of 3 square root of 3{y to the power of 3 }
d A LaTex expression showing 2{y} to the power of 2 square root of 7y
e A LaTex expression showing 3{y} to the power of 2 square root of 6y
f A LaTex expression showing {y} to the power of 4 square root of 10y
5
Simplify the radical
A LaTex expression showing square root of 112{b to the power of 3 }
a A LaTex expression showing 2{b} to the power of 3 square root of 4b
b A LaTex expression showing 4bsquare root of 7b
c A LaTex expression showing 2bsquare root of 10b
d A LaTex expression showing 2{b} to the power of 3 square root of 3b
e A LaTex expression showing 7{b} to the power of 3 square root of 5b
f A LaTex expression showing 5{b} to the power of 2 square root of 8b
6
Simplify the radical
A LaTex expression showing square root of 18{d to the power of 2 }
a A LaTex expression showing 3{d} to the power of 3 square root of 2
b A LaTex expression showing dsquare root of 2
c A LaTex expression showing d
d A LaTex expression showing 3dsquare root of 2
e A LaTex expression showing 2dsquare root of 4
f A LaTex expression showing dsquare root of 4
7
Simplify the radical
A LaTex expression showing square root of 8{y to the power of 2 }
a A LaTex expression showing 5ysquare root of 5
b A LaTex expression showing y
c A LaTex expression showing 4y
d A LaTex expression showing 2y
e A LaTex expression showing 2ysquare root of 2
f A LaTex expression showing 3y