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Radicals

Divide Monomials (Values and Variables) (Level 1)

This math topic focuses on simplifying radical expressions involving the division of monomials, which consist of numbers and variables. Each problem requires students to divide two radical expressions, then simplify them to their most elementary form. The exercises provide multiple-choice answers, helping students practice and master the manipulation of radicals, including operations that involve variables with exponents, across various conceptual levels.

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

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Radicals - Divide Monomials (Values and Variables) Worksheet

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Radicals - Divide Monomials (Values and Variables)
1
Divide the radical expressions and simplify the answer
A LaTex expression showing \frac{square root of 63{d to the power of 3 }}{square root of 7{d to the power of 4 }}
a A LaTex expression showing 3 over {d to the power of 3 }
b A LaTex expression showing \frac{square root of d}{d}
c A LaTex expression showing \frac{square root of d}{{d} to the power of -1 }
d A LaTex expression showing \frac{3square root of d}{d}
e A LaTex expression showing square root of d
2
Divide the radical expressions and simplify the answer
A LaTex expression showing \frac{square root of 208{r to the power of 2 }}{square root of 13}
a A LaTex expression showing {r} to the power of 2
b A LaTex expression showing 4r
c A LaTex expression showing r
d A LaTex expression showing 4{r} to the power of 2
e A LaTex expression showing r over 3
3
Divide the radical expressions and simplify the answer
A LaTex expression showing \frac{square root of 208z}{square root of 13{z to the power of 4 }}
a A LaTex expression showing \frac{4square root of z}{{z} to the power of 2 }
b A LaTex expression showing \frac{2square root of 2}{{z} to the power of 2 }
c A LaTex expression showing \frac{8square root of z}{{z} to the power of 2 }
d A LaTex expression showing \frac{square root of z}{z}
e A LaTex expression showing 2 over z
4
Divide the radical expressions and simplify the answer
A LaTex expression showing \frac{square root of 275{p to the power of 3 }}{square root of 11{p to the power of 3 }}
a A LaTex expression showing 2
b A LaTex expression showing 1
c A LaTex expression showing 5square root of 2
d A LaTex expression showing 1 over 3
e A LaTex expression showing 5
5
Divide the radical expressions and simplify the answer
A LaTex expression showing \frac{square root of 13}{square root of 52}
a A LaTex expression showing 1
b A LaTex expression showing 1 over 5
c A LaTex expression showing 4
d A LaTex expression showing 1 over 2
6
Divide the radical expressions and simplify the answer
A LaTex expression showing \frac{square root of 28{b to the power of 3 }}{square root of 7{b to the power of 2 }}
a A LaTex expression showing square root of b
b A LaTex expression showing \frac{2bsquare root of 3}{3}
c A LaTex expression showing 2square root of b
d A LaTex expression showing square root of 2{b to the power of -1 }
7
Divide the radical expressions and simplify the answer
A LaTex expression showing \frac{square root of 117m}{square root of 13m}
a A LaTex expression showing 3
b A LaTex expression showing 1
c A LaTex expression showing 1 over 2
d A LaTex expression showing 4
8
Divide the radical expressions and simplify the answer
A LaTex expression showing \frac{square root of 18{p to the power of 4 }}{square root of 2{p to the power of 4 }}
a A LaTex expression showing 6
b A LaTex expression showing 1
c A LaTex expression showing 1 over 2
d A LaTex expression showing 3
e A LaTex expression showing 1 over 5