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Radical

Divide Monomials (Values and Variables) (Level 3)

This math topic focuses on the skill of dividing monomial radical expressions and simplifying the results. It involves various algebraic operations where students manipulate expressions containing both radicals and variables. The problems require understanding how to handle square roots, powers, and coefficients within a division framework. The material is part of a broader introductory unit on the division of radicals. Each question provides multiple answer choices, suggesting a format that checks for understanding through problem solving and simplification of radical terms.

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

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Divide Monomials (Values and Variables)

Complete these online problems with 80% or 4 correct answers in a row. Results are immediate.

Divide the radical expressions and simplify the answer

28n3m399n2m\frac{\sqrt{28{n}^{3}{m}^{3}}}{\sqrt{99{n}^{2}m}}

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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 3)'. 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 176c{x to the power of 4 }}{square root of 20{c to the power of 4 {x} to the power of 4 }}
a A LaTex expression showing \frac{square root of 55c}{5{c} to the power of 2 {x} to the power of -2 }
b A LaTex expression showing \frac{2square root of 55c}{5{c} to the power of 2 }
c A LaTex expression showing \frac{square root of 55c}{{c} to the power of 2 {x} to the power of -1 }
d A LaTex expression showing \frac{2square root of 55c}{5c}
e A LaTex expression showing \frac{2square root of c}{5{c} to the power of 3 }
f A LaTex expression showing \frac{square root of 55c}{5{c} to the power of 3 }
2
Divide the radical expressions and simplify the answer
A LaTex expression showing \frac{square root of 32{p to the power of 3 {d} to the power of 3 }}{square root of 45{p to the power of 2 {d} to the power of 2 }}
a A LaTex expression showing square root of 10pd
b A LaTex expression showing \frac{2square root of 10p}{15}
c A LaTex expression showing 4dsquare root of 10pd
d A LaTex expression showing \frac{4dsquare root of 10pd}{15}
e A LaTex expression showing \frac{8square root of 3pd}{45}
f A LaTex expression showing \frac{4square root of 10pd}{15}
3
Divide the radical expressions and simplify the answer
A LaTex expression showing \frac{square root of 45{z to the power of 3 {r} to the power of 2 }}{square root of 28{z to the power of 2 {r} to the power of 2 }}
a A LaTex expression showing \frac{square root of 70z}{28}
b A LaTex expression showing \frac{square root of 105{z to the power of -1 }}{14}
c A LaTex expression showing 2square root of 35z
d A LaTex expression showing \frac{3zsquare root of 35}{14}
e A LaTex expression showing \frac{square root of 35z}{28}
f A LaTex expression showing \frac{3square root of 35z}{14}
4
Divide the radical expressions and simplify the answer
A LaTex expression showing \frac{square root of 12{p to the power of 3 }}{square root of 80{p to the power of 4 x}}
a A LaTex expression showing \frac{2square root of xp}{5px}
b A LaTex expression showing \frac{square root of 15xp}{10px}
c A LaTex expression showing \frac{square root of 15xp}{10}
d A LaTex expression showing \frac{3square root of 15xp}{10p}
e A LaTex expression showing \frac{square root of xp}{10{p} to the power of 3 x}
f A LaTex expression showing \frac{3square root of 15xp}{4px}
5
Divide the radical expressions and simplify the answer
A LaTex expression showing \frac{square root of 75{n to the power of 4 }}{square root of 8{p to the power of 3 {n} to the power of 2 }}
a A LaTex expression showing \frac{5{p} to the power of -2 nsquare root of 6p}{4}
b A LaTex expression showing \frac{5nsquare root of 6{p to the power of -1 }}{{p} to the power of 2 }
c A LaTex expression showing \frac{5nsquare root of p}{4}
d A LaTex expression showing \frac{nsquare root of 6p}{4{p} to the power of 2 {n} to the power of -2 }
e A LaTex expression showing \frac{5nsquare root of 6p}{4{p} to the power of 2 }
f A LaTex expression showing \frac{nsquare root of 3p}{4{p} to the power of 2 }
6
Divide the radical expressions and simplify the answer
A LaTex expression showing \frac{square root of 48z{r to the power of 4 }}{square root of 63{z to the power of 2 {r} to the power of 4 }}
a A LaTex expression showing \frac{4square root of 21z}{21z}
b A LaTex expression showing 4square root of 21
c A LaTex expression showing \frac{4square root of 21{z to the power of -1 }}{21{z} to the power of 3 }
d A LaTex expression showing \frac{4square root of 21{z to the power of -1 }}{z}
e A LaTex expression showing \frac{4square root of 21z}{21{z} to the power of 2 }
f A LaTex expression showing \frac{square root of 21z}{z}
7
Divide the radical expressions and simplify the answer
A LaTex expression showing \frac{square root of 63{m to the power of 3 n}}{square root of 20{n to the power of 2 }}
a A LaTex expression showing \frac{3{m} to the power of 2 square root of 35mn}{10{n} to the power of 2 }
b A LaTex expression showing \frac{3{m} to the power of 2 square root of 35n}{10{n} to the power of 3 }
c A LaTex expression showing \frac{3msquare root of 35{m to the power of -1 n}}{10n}
d A LaTex expression showing \frac{3msquare root of 35mn}{10n}
e A LaTex expression showing \frac{3square root of 35mn}{n}
f A LaTex expression showing \frac{3msquare root of mn}{10{n} to the power of -1 }