Radical

Divide Monomials (Values Only) (Level 3)

This math topic focuses on dividing and simplifying radical expressions involving monomials. It introduces methods for handling square roots in division problems and requires simplification of the results. The problems involve dividing various radical expressions and present multiple potential solutions for each, inviting students to determine the correct simplification. The skill level targeted suggests a more advanced handling of radicals, suitable for deeper comprehension and mastery of the fundamental properties of radicals and their operations.

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

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Divide Monomials (Values Only)

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Divide the radical expressions and simplify the answer

9945\frac{\sqrt{99}}{\sqrt{45}}

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Radicals - Divide Monomials (Values Only) Worksheet

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Math worksheet on 'Radicals - Divide Monomials (Values Only) (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 50}{square root of 48}
a A LaTex expression showing \frac{4square root of 6}{5}
b A LaTex expression showing square root of 6
c A LaTex expression showing 5 over 12
d A LaTex expression showing \frac{square root of 6}{12}
e A LaTex expression showing 5square root of 2
f A LaTex expression showing \frac{5square root of 6}{12}
2
Divide the radical expressions and simplify the answer
A LaTex expression showing \frac{square root of 32}{square root of 112}
a A LaTex expression showing 1 over 5
b A LaTex expression showing \frac{square root of 14}{7}
c A LaTex expression showing 3square root of 14
d A LaTex expression showing \frac{square root of 42}{21}
e A LaTex expression showing \frac{5square root of 14}{7}
f A LaTex expression showing \frac{square root of 3}{14}
3
Divide the radical expressions and simplify the answer
A LaTex expression showing \frac{square root of 52}{square root of 45}
a A LaTex expression showing square root of 65
b A LaTex expression showing \frac{square root of 65}{15}
c A LaTex expression showing \frac{2square root of 65}{15}
d A LaTex expression showing 2
e A LaTex expression showing \frac{square root of 130}{30}
f A LaTex expression showing 5square root of 65
4
Divide the radical expressions and simplify the answer
A LaTex expression showing \frac{square root of 50}{square root of 80}
a A LaTex expression showing \frac{square root of 10}{4}
b A LaTex expression showing 4square root of 10
c A LaTex expression showing 1
d A LaTex expression showing \frac{square root of 10}{2}
e A LaTex expression showing \frac{3square root of 10}{2}
f A LaTex expression showing square root of 10
5
Divide the radical expressions and simplify the answer
A LaTex expression showing \frac{square root of 75}{square root of 48}
a A LaTex expression showing 5 over 2
b A LaTex expression showing \frac{5square root of 2}{4}
c A LaTex expression showing 5 over 4
d A LaTex expression showing 3
e A LaTex expression showing 5square root of 2
f A LaTex expression showing 1 over 4
6
Divide the radical expressions and simplify the answer
A LaTex expression showing \frac{square root of 12}{square root of 275}
a A LaTex expression showing \frac{square root of 2}{55}
b A LaTex expression showing \frac{square root of 33}{55}
c A LaTex expression showing square root of 33
d A LaTex expression showing \frac{2square root of 33}{55}
e A LaTex expression showing 2
f A LaTex expression showing 5square root of 33
7
Divide the radical expressions and simplify the answer
A LaTex expression showing \frac{square root of 99}{square root of 20}
a A LaTex expression showing 3 over 5
b A LaTex expression showing \frac{square root of 55}{2}
c A LaTex expression showing square root of 55
d A LaTex expression showing 3 over 20
e A LaTex expression showing \frac{square root of 55}{5}
f A LaTex expression showing \frac{3square root of 55}{10}
Radicals - Divide Monomials (Values Only) (Level 3) - Mobius Math