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

This math topic focuses on multiplying monomials under radicals while involving fractional components. It entails simplifying radical expressions after using properties of radicals and fractions to multiply them. The problems generally present mathematic expressions that require students to multiply square roots of numbers and simplify when necessary, sometimes with additional division by a fractional factor to intensify the calculations. This set of problems advances the understanding and manipulation of radicals, especially in scenarios involving division, to reach simplified or exact results, nurturing comfort and skills with radical and fractional arithmetic.

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 \frac{square root of 44 times square root of 99}{3 over 5 }
a A LaTex expression showing 183
b A LaTex expression showing 110
c A LaTex expression showing 66
d A LaTex expression showing 1
2
Multiply the radical expressions and simplify the answer
A LaTex expression showing square root of 12 times square root of 27
a A LaTex expression showing 18
b A LaTex expression showing 1
c A LaTex expression showing 72
3
Multiply the radical expressions and simplify the answer
A LaTex expression showing \frac{square root of 50 times square root of 18}{2 over 5 }
a A LaTex expression showing 75
b A LaTex expression showing 187
c A LaTex expression showing 30
4
Multiply the radical expressions and simplify the answer
A LaTex expression showing \frac{square root of 18 times square root of 8}{3 over 4 }
a A LaTex expression showing 12
b A LaTex expression showing 16
c A LaTex expression showing 24
5
Multiply the radical expressions and simplify the answer
A LaTex expression showing \frac{square root of 48 times square root of 12}{3 over 2 }
a A LaTex expression showing 16
b A LaTex expression showing 48
c A LaTex expression showing 72
d A LaTex expression showing 24
e A LaTex expression showing 10
6
Multiply the radical expressions and simplify the answer
A LaTex expression showing \frac{square root of 8 times square root of 50}{2 over 4 }
a A LaTex expression showing 40
b A LaTex expression showing 20
c A LaTex expression showing 80
7
Multiply the radical expressions and simplify the answer
A LaTex expression showing \frac{square root of 28 times square root of 175}{7 over 5 }
a A LaTex expression showing 50
b A LaTex expression showing 70
c A LaTex expression showing 35
8
Multiply the radical expressions and simplify the answer
A LaTex expression showing \frac{square root of 28 times square root of 63}{7 over 3 }
a A LaTex expression showing 42
b A LaTex expression showing 126
c A LaTex expression showing 18
d A LaTex expression showing 7