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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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 Advanced' Learn online: app.mobius.academy/math/units/radicals_simplifying_advanced/
1
Simplify the radical
A LaTex expression showing square root of 125b
a A LaTex expression showing 5square root of 5b
b A LaTex expression showing 3square root of 7{b to the power of 2 }
c A LaTex expression showing 5square root of 2b
d A LaTex expression showing 5square root of b
e A LaTex expression showing 3square root of 4b
2
Simplify the radical
A LaTex expression showing square root of 63b
a A LaTex expression showing square root of 10b
b A LaTex expression showing 4square root of 10b
c A LaTex expression showing square root of 5{b to the power of 2 }
d A LaTex expression showing 3square root of 7b
e A LaTex expression showing square root of 3{b to the power of 3 }
3
Simplify the radical
A LaTex expression showing square root of 32{y to the power of 3 }
a A LaTex expression showing 2ysquare root of 5y
b A LaTex expression showing ysquare root of y
c A LaTex expression showing 2ysquare root of {y to the power of 2 }
d A LaTex expression showing 2{y} to the power of 3 square root of {y to the power of 2 }
e A LaTex expression showing 4ysquare root of 2y
4
Simplify the radical
A LaTex expression showing square root of 176{p to the power of 2 }
a A LaTex expression showing {p} to the power of 3 square root of 12
b A LaTex expression showing 6{p} to the power of 2 square root of 12
c A LaTex expression showing 4psquare root of 11
d A LaTex expression showing psquare root of 10
e A LaTex expression showing 5psquare root of 10
5
Simplify the radical
A LaTex expression showing square root of 63d
a A LaTex expression showing 2square root of 8d
b A LaTex expression showing 4square root of 3{d to the power of 2 }
c A LaTex expression showing 3square root of 7d
d A LaTex expression showing 3square root of 8{d to the power of 3 }
e A LaTex expression showing 2square root of 10d
6
Simplify the radical
A LaTex expression showing square root of 275{r to the power of 3 }
a A LaTex expression showing 3rsquare root of 11{r to the power of 3 }
b A LaTex expression showing 5rsquare root of 11r
c A LaTex expression showing {r} to the power of 3 square root of 14r
d A LaTex expression showing 2{r} to the power of 2 square root of 11r
e A LaTex expression showing 8rsquare root of 11r
7
Simplify the radical
A LaTex expression showing square root of 112b
a A LaTex expression showing 2square root of 8b
b A LaTex expression showing 7square root of 3b
c A LaTex expression showing 4square root of 9b
d A LaTex expression showing 2square root of 3b
e A LaTex expression showing 4square root of 7b