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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Math worksheet on 'Radicals - Divide Monomials (Values and Variables) (Level 1)'. Part of a broader unit on 'Radicals - Division Intro' Learn online: app.mobius.academy/math/units/radicals_division_intro/
1
Divide the radical expressions and simplify the answer
A LaTex expression showing \frac{square root of 3b}{square root of 27b}
a A LaTex expression showing 4
b A LaTex expression showing 1
c A LaTex expression showing 1 over 3
d A LaTex expression showing \frac{square root of 2}{6}
e A LaTex expression showing 2 over 3
2
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 4
b A LaTex expression showing 1
c A LaTex expression showing 1 over 2
d A LaTex expression showing 1 over 5
3
Divide the radical expressions and simplify the answer
A LaTex expression showing \frac{square root of 117}{square root of 13n}
a A LaTex expression showing \frac{5square root of 3n}{3n}
b A LaTex expression showing 3square root of {n to the power of -1 }
c A LaTex expression showing \frac{4square root of n}{{n} to the power of 3 }
d A LaTex expression showing \frac{square root of n}{5n}
e A LaTex expression showing \frac{3square root of n}{n}
4
Divide the radical expressions and simplify the answer
A LaTex expression showing \frac{square root of 28}{square root of 7{d to the power of 2 }}
a A LaTex expression showing 1 over d
b A LaTex expression showing 2 over d
c A LaTex expression showing 5 over 2d
d A LaTex expression showing 1 over {d to the power of 2 }
5
Divide the radical expressions and simplify the answer
A LaTex expression showing \frac{square root of 325{c to the power of 2 }}{square root of 13{c to the power of 3 }}
a A LaTex expression showing \frac{2square root of c}{c}
b A LaTex expression showing \frac{5square root of c}{c}
c A LaTex expression showing \frac{square root of c}{4c}
d A LaTex expression showing \frac{5square root of c}{{c} to the power of 3 }
e A LaTex expression showing 5
6
Divide the radical expressions and simplify the answer
A LaTex expression showing \frac{square root of 2{p to the power of 4 }}{square root of 18}
a A LaTex expression showing \frac{{p} to the power of 4 }{2}
b A LaTex expression showing \frac{{p} to the power of 4 }{5}
c A LaTex expression showing \frac{{p} to the power of 2 square root of 2}{6}
d A LaTex expression showing \frac{{p} to the power of 2 }{3}
e A LaTex expression showing {p} to the power of 4
7
Divide the radical expressions and simplify the answer
A LaTex expression showing \frac{square root of 5}{square root of 80{p to the power of 2 }}
a A LaTex expression showing 5 over 3p
b A LaTex expression showing 4 over p
c A LaTex expression showing 1 over 4{p to the power of 2 }
d A LaTex expression showing 1 over 4
e A LaTex expression showing 1 over 4p