Multiplying Monomials (Values Only) over Fraction (Level 3)

This math topic focuses on multiplying monomial radical expressions over fractions and subsequent simplification. It introduces students to combining radicals through multiplication and teaches how to simplify the resulting expressions. Students practice handling square roots applied to products involving fractions, a key skill in algebra, particularly in the context of an introduction to radical multiplication. Multiple choice answers are provided to guide learning and self-assessment. This topic forms a part of introductory modules on radical multiplication, enhancing students' understanding and manipulation of radical expressions.

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

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Radicals - Multiplying Monomials (Values Only) over Fraction Worksheet

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Math worksheet on 'Radicals - Multiplying Monomials (Values Only) over Fraction (Level 3)'. Part of a broader unit on 'Radicals - Multiplication Intro' Learn online: app.mobius.academy/math/units/radicals_multiplication_intro/
1
Multiply the radical expressions and simplify the answer
A LaTex expression showing \frac{square root of 45 times square root of 52}{2 over 4 }
a A LaTex expression showing 24square root of 65
b A LaTex expression showing 1
c A LaTex expression showing 12square root of 65
d A LaTex expression showing 6square root of 65
2
Multiply the radical expressions and simplify the answer
A LaTex expression showing \frac{square root of 27 times square root of 80}{3 over 4 }
a A LaTex expression showing 16square root of 15
b A LaTex expression showing 21
c A LaTex expression showing 12
d A LaTex expression showing 12square root of 15
3
Multiply the radical expressions and simplify the answer
A LaTex expression showing square root of 27 times square root of 125
a A LaTex expression showing 45square root of 15
b A LaTex expression showing 1
c A LaTex expression showing 75square root of 15
d A LaTex expression showing 15square root of 15
4
Multiply the radical expressions and simplify the answer
A LaTex expression showing \frac{square root of 32 times square root of 125}{5 over 2 }
a A LaTex expression showing 3
b A LaTex expression showing 20square root of 10
c A LaTex expression showing 100square root of 10
d A LaTex expression showing 8square root of 10
e A LaTex expression showing 1
5
Multiply the radical expressions and simplify the answer
A LaTex expression showing \frac{square root of 20 times square root of 12}{2 over 5 }
a A LaTex expression showing 4square root of 15
b A LaTex expression showing 12square root of 15
c A LaTex expression showing 4
d A LaTex expression showing 10square root of 15
6
Multiply the radical expressions and simplify the answer
A LaTex expression showing \frac{square root of 112 times square root of 44}{2 over 4 }
a A LaTex expression showing 16square root of 77
b A LaTex expression showing 32square root of 77
c A LaTex expression showing 32
d A LaTex expression showing 8square root of 77
e A LaTex expression showing 8
7
Multiply the radical expressions and simplify the answer
A LaTex expression showing \frac{square root of 44 times square root of 28}{2 over 3 }
a A LaTex expression showing 6square root of 77
b A LaTex expression showing 1
c A LaTex expression showing 8square root of 77
d A LaTex expression showing 4
e A LaTex expression showing 4square root of 77