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

This math topic focuses on simplifying cube radicals with variables and constants. Problems involve breaking down radicals to their simplest form, engaging understanding of algebraic expressions involving powers and roots. Each question presents a radical expression and multiple-choice answers that test the student’s ability to simplify expressions and manage the remaining radicals accurately. Skills practiced include understanding the properties of exponents and roots, manipulating algebraic expressions, and critical thinking in identifying the correct simplified form of given radical expressions.

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

125b3\sqrt{125{b}^{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 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 112{y to the power of 2 }
a A LaTex expression showing {y} to the power of 3 square root of 10
b A LaTex expression showing 5{y} to the power of 3 square root of 4
c A LaTex expression showing {y} to the power of 2 square root of 9
d A LaTex expression showing 4ysquare root of 7
e A LaTex expression showing {y} to the power of 2 square root of 5
f A LaTex expression showing 5ysquare root of 3
2
Simplify the radical
A LaTex expression showing square root of 275{x to the power of 2 }
a A LaTex expression showing 8xsquare root of 12
b A LaTex expression showing 4{x} to the power of 2 square root of 14
c A LaTex expression showing 5xsquare root of 11
d A LaTex expression showing 3{x} to the power of 3 square root of 9
e A LaTex expression showing {x} to the power of 2 square root of 12
f A LaTex expression showing 7xsquare root of 10
3
Simplify the radical
A LaTex expression showing square root of 48n
a A LaTex expression showing 5square root of 6n
b A LaTex expression showing 6square root of {n to the power of 2 }
c A LaTex expression showing 7square root of {n to the power of 2 }
d A LaTex expression showing 3square root of {n to the power of 2 }
e A LaTex expression showing 4square root of 3n
f A LaTex expression showing 7square root of n
4
Simplify the radical
A LaTex expression showing square root of 99{y to the power of 3 }
a A LaTex expression showing 3ysquare root of 11y
b A LaTex expression showing ysquare root of 7y
c A LaTex expression showing 2{y} to the power of 3 square root of 14{y to the power of 2 }
d A LaTex expression showing 5ysquare root of 12{y to the power of 3 }
e A LaTex expression showing ysquare root of 11y
f A LaTex expression showing 5ysquare root of 7{y to the power of 3 }
5
Simplify the radical
A LaTex expression showing square root of 18{x to the power of 3 }
a A LaTex expression showing xsquare root of {x to the power of 2 }
b A LaTex expression showing xsquare root of 2{x to the power of 3 }
c A LaTex expression showing xsquare root of 3{x to the power of 3 }
d A LaTex expression showing 3xsquare root of 2x
e A LaTex expression showing 3{x} to the power of 2 square root of x
f A LaTex expression showing 6{x} to the power of 3 square root of 2x
6
Simplify the radical
A LaTex expression showing square root of 44{c to the power of 3 }
a A LaTex expression showing csquare root of 8{c to the power of 2 }
b A LaTex expression showing 3{c} to the power of 3 square root of 7c
c A LaTex expression showing 5csquare root of 10{c to the power of 3 }
d A LaTex expression showing {c} to the power of 2 square root of 14{c to the power of 3 }
e A LaTex expression showing 2csquare root of 11c
f A LaTex expression showing csquare root of 9{c to the power of 3 }
7
Simplify the radical
A LaTex expression showing square root of 99{x to the power of 3 }
a A LaTex expression showing 3xsquare root of 9{x to the power of 2 }
b A LaTex expression showing 2{x} to the power of 2 square root of 12x
c A LaTex expression showing 6xsquare root of 8x
d A LaTex expression showing 4xsquare root of 14{x to the power of 2 }
e A LaTex expression showing 3xsquare root of 11x
f A LaTex expression showing xsquare root of 10x