Radicals

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

This math topic focuses on practicing the multiplication of monomials involving radicals (square roots), specifically over fractions. Students multiply radical expressions and simplify their answers, enhancing their understanding of radical operations and fraction handling in algebraic contexts. The complexity of the problems involves both straightforward multiplication of square roots as well as combining these operations with fractional denominators, which tests their skills in algebraic manipulation and simplification of radical 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 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 5 times square root of 45}{5 over 4 }
a A LaTex expression showing 12
b A LaTex expression showing 9
c A LaTex expression showing 15
d A LaTex expression showing 1
2
Multiply the radical expressions and simplify the answer
A LaTex expression showing \frac{square root of 5 times square root of 80}{5 over 4 }
a A LaTex expression showing 40
b A LaTex expression showing 16
c A LaTex expression showing 20
3
Multiply the radical expressions and simplify the answer
A LaTex expression showing \frac{square root of 13 times square root of 117}{13 over 3 }
a A LaTex expression showing 9
b A LaTex expression showing 2
c A LaTex expression showing 117
d A LaTex expression showing 39
4
Multiply the radical expressions and simplify the answer
A LaTex expression showing \frac{square root of 12 times square root of 3}{3 over 2 }
a A LaTex expression showing 4
b A LaTex expression showing 6
c A LaTex expression showing 2
d A LaTex expression showing 1
5
Multiply the radical expressions and simplify the answer
A LaTex expression showing \frac{square root of 13 times square root of 52}{13 over 4 }
a A LaTex expression showing 8
b A LaTex expression showing 26
c A LaTex expression showing 1
d A LaTex expression showing 78
6
Multiply the radical expressions and simplify the answer
A LaTex expression showing \frac{square root of 18 times square root of 2}{2 over 4 }
a A LaTex expression showing 6
b A LaTex expression showing 12
c A LaTex expression showing 24
d A LaTex expression showing 1
7
Multiply the radical expressions and simplify the answer
A LaTex expression showing \frac{square root of 112 times square root of 7}{7 over 3 }
a A LaTex expression showing 5
b A LaTex expression showing 28
c A LaTex expression showing 12
d A LaTex expression showing 1
8
Multiply the radical expressions and simplify the answer
A LaTex expression showing \frac{square root of 2 times square root of 32}{2 over 5 }
a A LaTex expression showing 50
b A LaTex expression showing 8
c A LaTex expression showing 16
d A LaTex expression showing 20