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

This math topic is focused on practicing the multiplication of monomial radicals over integers and simplifying the results. It encompasses seven questions where students are prompted to multiply radical expressions and choose the correct simplified form from multiple choice answers. This topic is designed to help students understand and apply the rules for multiplying radicals, particularly in the context of multiplying square roots and rationalizing denominators. The problems are structured to aid in mastering the simplification of radical expressions, enhancing fluency in handling square roots and integer factors.

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 Integer Worksheet

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Radicals - Multiplying Monomials (Values Only) over Integer
1
Multiply the radical expressions and simplify the answer
A LaTex expression showing \frac{square root of 44 times square root of 12}{2}
a A LaTex expression showing 4
b A LaTex expression showing 4square root of 33
c A LaTex expression showing 8square root of 33
d A LaTex expression showing 2square root of 33
e A LaTex expression showing 1
2
Multiply the radical expressions and simplify the answer
A LaTex expression showing \frac{square root of 32 times square root of 48}{2}
a A LaTex expression showing 1
b A LaTex expression showing 8square root of 6
c A LaTex expression showing 16square root of 6
d A LaTex expression showing 16
3
Multiply the radical expressions and simplify the answer
A LaTex expression showing \frac{square root of 99 times square root of 45}{3}
a A LaTex expression showing 9square root of 55
b A LaTex expression showing 3square root of 55
c A LaTex expression showing 9
d A LaTex expression showing square root of 55
4
Multiply the radical expressions and simplify the answer
A LaTex expression showing \frac{square root of 63 times square root of 44}{3}
a A LaTex expression showing 6square root of 77
b A LaTex expression showing 1
c A LaTex expression showing 6
d A LaTex expression showing 0square root of 77
e A LaTex expression showing 2square root of 77
5
Multiply the radical expressions and simplify the answer
A LaTex expression showing \frac{square root of 175 times square root of 28}{7}
a A LaTex expression showing 1
b A LaTex expression showing 10
c A LaTex expression showing 70
6
Multiply the radical expressions and simplify the answer
A LaTex expression showing \frac{square root of 175 times square root of 27}{5}
a A LaTex expression showing 15
b A LaTex expression showing 0
c A LaTex expression showing 15square root of 21
d A LaTex expression showing 3square root of 21
7
Multiply the radical expressions and simplify the answer
A LaTex expression showing \frac{square root of 125 times square root of 27}{3}
a A LaTex expression showing 5square root of 15
b A LaTex expression showing square root of 15
c A LaTex expression showing 45square root of 15
d A LaTex expression showing 15square root of 15
8
Multiply the radical expressions and simplify the answer
A LaTex expression showing \frac{square root of 45 times square root of 75}{5}
a A LaTex expression showing 15
b A LaTex expression showing 1
c A LaTex expression showing 0square root of 15
d A LaTex expression showing 3square root of 15
e A LaTex expression showing 0