Multiplying Monomials (Values Only) over Unit Fraction (Level 1)

This math topic focuses on multiplying radical expressions, specifically involving the multiplication of monomials under radicals over unit fractions. The activity aims to develop skills in simplifying complex radical expressions after multiplication. Each problem requires students to multiply radicals containing monomials and simplify the outcomes, bolstering their understanding of radicals and their properties. This is part of a broader unit on introductory radical multiplication. Each exercise includes multiple choice answers, enabling practice in selecting and verifying the correct simplified form of the 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 Unit Fraction Worksheet

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Radicals - Multiplying Monomials (Values Only) over Unit Fraction
1
A LaTex expression showing \frac{square root of 99 times square root of 11}{1 over 5 }
Multiply the radical expressions and simplify the answer
a A LaTex expression showing 165
b A LaTex expression showing 33
c A LaTex expression showing 825
2
Multiply the radical expressions and simplify the answer
A LaTex expression showing \frac{square root of 3 times square root of 12}{1 over 3 }
a A LaTex expression showing 6
b A LaTex expression showing 54
c A LaTex expression showing 18
d A LaTex expression showing 1
3
Multiply the radical expressions and simplify the answer
A LaTex expression showing \frac{square root of 325 times square root of 13}{1 over 4 }
a A LaTex expression showing 1
b A LaTex expression showing 1040
c A LaTex expression showing 260
d A LaTex expression showing 195
e A LaTex expression showing 65
4
Multiply the radical expressions and simplify the answer
A LaTex expression showing \frac{square root of 50 times square root of 2}{1 over 5 }
a A LaTex expression showing 50
b A LaTex expression showing 10
c A LaTex expression showing 1
d A LaTex expression showing 250
5
A LaTex expression showing \frac{square root of 12 times square root of 3}{1 over 5 }
Multiply the radical expressions and simplify the answer
a A LaTex expression showing 1
b A LaTex expression showing 30
c A LaTex expression showing 150
d A LaTex expression showing 6
6
A LaTex expression showing \frac{square root of 3 times square root of 27}{1 over 3 }
Multiply the radical expressions and simplify the answer
a A LaTex expression showing 27
b A LaTex expression showing 9
c A LaTex expression showing 81
d A LaTex expression showing 1
7
A LaTex expression showing \frac{square root of 112 times square root of 7}{1 over 4 }
Multiply the radical expressions and simplify the answer
a A LaTex expression showing 1
b A LaTex expression showing 112
c A LaTex expression showing 28
d A LaTex expression showing 140
e A LaTex expression showing 448
8
Multiply the radical expressions and simplify the answer
A LaTex expression showing \frac{square root of 175 times square root of 7}{1 over 4 }
a A LaTex expression showing 35
b A LaTex expression showing 560
c A LaTex expression showing 140
d A LaTex expression showing 70