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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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 12}{square root of 176}
a A LaTex expression showing 1
b A LaTex expression showing square root of 33
c A LaTex expression showing \frac{square root of 33}{22}
d A LaTex expression showing 5square root of 33
2
Divide the radical expressions and simplify the answer
A LaTex expression showing \frac{square root of 20}{square root of 75}
a A LaTex expression showing \frac{2square root of 15}{15}
b A LaTex expression showing 2square root of 15
c A LaTex expression showing 3square root of 15
d A LaTex expression showing \frac{2square root of 3}{45}
e A LaTex expression showing \frac{square root of 15}{30}
3
Divide the radical expressions and simplify the answer
A LaTex expression showing \frac{square root of 117}{square root of 12}
a A LaTex expression showing \frac{square root of 39}{3}
b A LaTex expression showing 1 over 2
c A LaTex expression showing \frac{5square root of 39}{4}
d A LaTex expression showing \frac{square root of 39}{2}
e A LaTex expression showing \frac{square root of 39}{4}
4
Divide the radical expressions and simplify the answer
A LaTex expression showing \frac{square root of 275}{square root of 18}
a A LaTex expression showing \frac{5square root of 22}{6}
b A LaTex expression showing 5 over 2
c A LaTex expression showing 5 over 3
d A LaTex expression showing \frac{square root of 22}{2}
e A LaTex expression showing \frac{square root of 22}{5}
5
Divide the radical expressions and simplify the answer
A LaTex expression showing \frac{square root of 176}{square root of 20}
a A LaTex expression showing \frac{square root of 55}{5}
b A LaTex expression showing 2 over 5
c A LaTex expression showing 3square root of 55
d A LaTex expression showing \frac{2square root of 55}{5}
e A LaTex expression showing \frac{square root of 110}{10}
6
Divide the radical expressions and simplify the answer
A LaTex expression showing \frac{square root of 28}{square root of 99}
a A LaTex expression showing square root of 77
b A LaTex expression showing 2
c A LaTex expression showing \frac{2square root of 77}{33}
d A LaTex expression showing \frac{square root of 77}{33}
7
Divide the radical expressions and simplify the answer
A LaTex expression showing \frac{square root of 8}{square root of 28}
a A LaTex expression showing \frac{square root of 14}{7}
b A LaTex expression showing 4square root of 14
c A LaTex expression showing \frac{3square root of 14}{4}
d A LaTex expression showing \frac{2square root of 14}{7}
e A LaTex expression showing \frac{square root of 14}{14}