Radical

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

63b3\sqrt{63{b}^{3}}

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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 48x
a A LaTex expression showing 7square root of 6{x to the power of 3 }
b A LaTex expression showing 6square root of 3{x to the power of 2 }
c A LaTex expression showing 5square root of 4x
d A LaTex expression showing 4square root of 3x
e A LaTex expression showing 4square root of 6x
f A LaTex expression showing 4square root of 5x
2
Simplify the radical
A LaTex expression showing square root of 32{r to the power of 3 }
a A LaTex expression showing 4rsquare root of 2r
b A LaTex expression showing 5{r} to the power of 2 square root of 3{r to the power of 3 }
c A LaTex expression showing 7rsquare root of {r to the power of 3 }
d A LaTex expression showing 5{r} to the power of 3 square root of {r to the power of 2 }
e A LaTex expression showing 3rsquare root of 4{r to the power of 2 }
f A LaTex expression showing 7rsquare root of r
3
Simplify the radical
A LaTex expression showing square root of 112r
a A LaTex expression showing 3square root of 7{r to the power of 3 }
b A LaTex expression showing 6square root of 9r
c A LaTex expression showing 2square root of 3r
d A LaTex expression showing 7square root of 4{r to the power of 2 }
e A LaTex expression showing 4square root of 9r
f A LaTex expression showing 4square root of 7r
4
Simplify the radical
A LaTex expression showing square root of 99{y to the power of 2 }
a A LaTex expression showing 6ysquare root of 7
b A LaTex expression showing 5{y} to the power of 2 square root of 14
c A LaTex expression showing {y} to the power of 3 square root of 8
d A LaTex expression showing 3ysquare root of 11
e A LaTex expression showing {y} to the power of 3 square root of 13
f A LaTex expression showing ysquare root of 14
5
Simplify the radical
A LaTex expression showing square root of 275m
a A LaTex expression showing 5square root of 11m
b A LaTex expression showing square root of 7m
c A LaTex expression showing 4square root of 12{m to the power of 2 }
d A LaTex expression showing square root of 12{m to the power of 3 }
e A LaTex expression showing 8square root of 12m
f A LaTex expression showing 5square root of 10m
6
Simplify the radical
A LaTex expression showing square root of 28y
a A LaTex expression showing 2square root of 5y
b A LaTex expression showing 3square root of 5y
c A LaTex expression showing 3square root of 8y
d A LaTex expression showing 3square root of 5{y to the power of 2 }
e A LaTex expression showing 2square root of 10y
f A LaTex expression showing 2square root of 7y
7
Simplify the radical
A LaTex expression showing square root of 75{c to the power of 3 }
a A LaTex expression showing 3{c} to the power of 2 square root of c
b A LaTex expression showing 4csquare root of c
c A LaTex expression showing csquare root of c
d A LaTex expression showing 3{c} to the power of 2 square root of 2{c to the power of 3 }
e A LaTex expression showing 5csquare root of 3c
f A LaTex expression showing 3csquare root of 6c