Radicals

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 45 times square root of 18}{3}
a A LaTex expression showing 9square root of 10
b A LaTex expression showing square root of 10
c A LaTex expression showing 9
d A LaTex expression showing 3square root of 10
2
Multiply the radical expressions and simplify the answer
A LaTex expression showing \frac{square root of 52 times square root of 63}{3}
a A LaTex expression showing 1
b A LaTex expression showing 6square root of 91
c A LaTex expression showing 2square root of 91
d A LaTex expression showing 6
3
Multiply the radical expressions and simplify the answer
A LaTex expression showing \frac{square root of 44 times square root of 18}{2}
a A LaTex expression showing square root of 22
b A LaTex expression showing 6square root of 22
c A LaTex expression showing 1
d A LaTex expression showing 3square root of 22
4
Multiply the radical expressions and simplify the answer
A LaTex expression showing \frac{square root of 12 times square root of 125}{2}
a A LaTex expression showing 10square root of 15
b A LaTex expression showing 5square root of 15
c A LaTex expression showing 1
d A LaTex expression showing 2square root of 15
5
Multiply the radical expressions and simplify the answer
A LaTex expression showing \frac{square root of 50 times square root of 8}{5}
a A LaTex expression showing 0
b A LaTex expression showing 4
c A LaTex expression showing 20
6
Multiply the radical expressions and simplify the answer
A LaTex expression showing \frac{square root of 32 times square root of 80}{2}
a A LaTex expression showing 8square root of 10
b A LaTex expression showing 1
c A LaTex expression showing 16
d A LaTex expression showing 4square root of 10
e A LaTex expression showing 80square root of 10
7
Multiply the radical expressions and simplify the answer
A LaTex expression showing \frac{square root of 8 times square root of 50}{5}
a A LaTex expression showing 4
b A LaTex expression showing 80
c A LaTex expression showing 20
d A LaTex expression showing 1
8
Multiply the radical expressions and simplify the answer
A LaTex expression showing \frac{square root of 32 times square root of 117}{3}
a A LaTex expression showing 4square root of 26
b A LaTex expression showing 1
c A LaTex expression showing 12square root of 26