Radicals

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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Radicals - Multiplying Monomials (Values Only) over Fraction
1
Multiply the radical expressions and simplify the answer
A LaTex expression showing square root of 275 times square root of 12
a A LaTex expression showing 20square root of 33
b A LaTex expression showing 10
c A LaTex expression showing 10square root of 33
2
Multiply the radical expressions and simplify the answer
A LaTex expression showing \frac{square root of 63 times square root of 8}{3 over 5 }
a A LaTex expression showing 10square root of 14
b A LaTex expression showing 16square root of 14
c A LaTex expression showing 1
d A LaTex expression showing 6square root of 14
3
Multiply the radical expressions and simplify the answer
A LaTex expression showing \frac{square root of 125 times square root of 32}{5 over 2 }
a A LaTex expression showing 100square root of 10
b A LaTex expression showing 3square root of 10
c A LaTex expression showing 20square root of 10
d A LaTex expression showing 8square root of 10
e A LaTex expression showing 20
4
Multiply the radical expressions and simplify the answer
A LaTex expression showing \frac{square root of 80 times square root of 28}{2 over 3 }
a A LaTex expression showing 8square root of 35
b A LaTex expression showing 8
c A LaTex expression showing 12square root of 35
d A LaTex expression showing 1
5
Multiply the radical expressions and simplify the answer
A LaTex expression showing \frac{square root of 27 times square root of 28}{3 over 2 }
a A LaTex expression showing 6square root of 21
b A LaTex expression showing 6
c A LaTex expression showing 4square root of 21
d A LaTex expression showing 12square root of 21
6
Multiply the radical expressions and simplify the answer
A LaTex expression showing \frac{square root of 63 times square root of 32}{3 over 2 }
a A LaTex expression showing 5square root of 14
b A LaTex expression showing 8square root of 14
c A LaTex expression showing 48square root of 14
d A LaTex expression showing 12square root of 14
7
Multiply the radical expressions and simplify the answer
A LaTex expression showing \frac{square root of 125 times square root of 28}{5 over 2 }
a A LaTex expression showing square root of 35
b A LaTex expression showing 10square root of 35
c A LaTex expression showing 4square root of 35
d A LaTex expression showing 1
8
Multiply the radical expressions and simplify the answer
A LaTex expression showing \frac{square root of 12 times square root of 75}{3 over 5 }
a A LaTex expression showing 50
b A LaTex expression showing 1
c A LaTex expression showing 30