Multiplying Monomials (Values Only) over Integer (Level 2)

This topic focuses on multiplying monomial radical expressions with integers and simplifying the results. Skills practiced include handling square roots, performing multiplication involving radicals, simplifying expressions under radicals, and rationalizing denominators. Throughout, students are provided with expressions containing radicals, which they multiply and simplify to find the simplest form. The problems require essential understanding of radical properties and arithmetic operations involving roots, forming a foundational part of learning about radicals and their manipulation.

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 28 times square root of 63}{7}
a A LaTex expression showing 42
b A LaTex expression showing 0
c A LaTex expression showing 6
2
Multiply the radical expressions and simplify the answer
A LaTex expression showing \frac{square root of 18 times square root of 32}{3}
a A LaTex expression showing 120
b A LaTex expression showing 1
c A LaTex expression showing 24
d A LaTex expression showing 8
3
Multiply the radical expressions and simplify the answer
A LaTex expression showing \frac{square root of 8 times square root of 50}{2}
a A LaTex expression showing 5
b A LaTex expression showing 10
c A LaTex expression showing 20
4
Multiply the radical expressions and simplify the answer
A LaTex expression showing \frac{square root of 20 times square root of 45}{3}
a A LaTex expression showing 10
b A LaTex expression showing 30
c A LaTex expression showing 3
5
Multiply the radical expressions and simplify the answer
A LaTex expression showing \frac{square root of 50 times square root of 32}{5}
a A LaTex expression showing 40
b A LaTex expression showing 1
c A LaTex expression showing 8
6
Multiply the radical expressions and simplify the answer
A LaTex expression showing \frac{square root of 27 times square root of 75}{5}
a A LaTex expression showing 45
b A LaTex expression showing 1
c A LaTex expression showing 9
7
Multiply the radical expressions and simplify the answer
A LaTex expression showing \frac{square root of 12 times square root of 75}{5}
a A LaTex expression showing 6
b A LaTex expression showing 90
c A LaTex expression showing 30
d A LaTex expression showing 1
8
Multiply the radical expressions and simplify the answer
A LaTex expression showing \frac{square root of 75 times square root of 27}{3}
a A LaTex expression showing 5
b A LaTex expression showing 90
c A LaTex expression showing 45
d A LaTex expression showing 15