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

8x3\sqrt{8{x}^{3}}

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 75{y to the power of 5 }
a A LaTex expression showing 7{y} to the power of 3 square root of 5y
b A LaTex expression showing 5{y} to the power of 2 square root of 3y
c A LaTex expression showing 5{y} to the power of 2 square root of y
d A LaTex expression showing 5{y} to the power of 3 square root of y
e A LaTex expression showing 5ysquare root of y
f A LaTex expression showing {y} to the power of 4 square root of 5y
2
Simplify the radical
A LaTex expression showing square root of 8{y to the power of 2 }
a A LaTex expression showing 3y
b A LaTex expression showing 2ysquare root of 2
c A LaTex expression showing 5ysquare root of 5
d A LaTex expression showing 4y
e A LaTex expression showing 2y
f A LaTex expression showing y
3
Simplify the radical
A LaTex expression showing square root of 48z
a A LaTex expression showing 6square root of 2z
b A LaTex expression showing 2square root of {z to the power of 2 }
c A LaTex expression showing 2square root of 3{z to the power of 3 }
d A LaTex expression showing square root of {z to the power of 2 }
e A LaTex expression showing square root of {z to the power of 3 }
f A LaTex expression showing 4square root of 3z
4
Simplify the radical
A LaTex expression showing square root of 50n
a A LaTex expression showing 8square root of 5n
b A LaTex expression showing 5square root of 2n
c A LaTex expression showing square root of {n to the power of 2 }
d A LaTex expression showing 7square root of n
e A LaTex expression showing 6square root of 3n
f A LaTex expression showing 7square root of 2{n to the power of 2 }
5
Simplify the radical
A LaTex expression showing square root of 18{c to the power of 5 }
a A LaTex expression showing 3csquare root of {c to the power of 3 }
b A LaTex expression showing 4csquare root of {c to the power of 3 }
c A LaTex expression showing 3{c} to the power of 2 square root of 2c
d A LaTex expression showing 4{c} to the power of 3 square root of 2c
e A LaTex expression showing 6csquare root of {c to the power of 3 }
f A LaTex expression showing 2csquare root of 3{c to the power of 3 }
6
Simplify the radical
A LaTex expression showing square root of 32{n to the power of 4 }
a A LaTex expression showing 4{n} to the power of 2 square root of 2
b A LaTex expression showing 2{n} to the power of 4 square root of 3
c A LaTex expression showing 6{n} to the power of 3 square root of 4
d A LaTex expression showing {n} to the power of 4
e A LaTex expression showing 5n
f A LaTex expression showing 6{n} to the power of 3 square root of 5
7
Simplify the radical
A LaTex expression showing square root of 63n
a A LaTex expression showing square root of 3{n to the power of 3 }
b A LaTex expression showing 4square root of 4{n to the power of 2 }
c A LaTex expression showing square root of 9n
d A LaTex expression showing 3square root of 7n
e A LaTex expression showing 2square root of 8{n to the power of 3 }
f A LaTex expression showing 6square root of 3{n to the power of 2 }