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

This topic focuses on the skills of multiplying monomials involving radicals over unit fractions. It includes simplifying radical expressions after multiplication and dealing with operations against fractional denominators. The problems require students to simplify square roots and adjust their calculations with division by unit fractions (like 1/2, 1/3, 1/4, 1/5), fostering an understanding of both radical operations and the effects of dividing by fractions in algebraic contexts. Each problem provides several answer choices, emphasizing solution verification and the consolidation of multiplying and simplifying operations with radicals.

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 12 times square root of 27}{1 over 4 }
Multiply the radical expressions and simplify the answer
a A LaTex expression showing 288
b A LaTex expression showing 72
c A LaTex expression showing 18
2
A LaTex expression showing \frac{square root of 28 times square root of 175}{1 over 4 }
Multiply the radical expressions and simplify the answer
a A LaTex expression showing 140
b A LaTex expression showing 1120
c A LaTex expression showing 70
d A LaTex expression showing 280
3
A LaTex expression showing \frac{square root of 12 times square root of 75}{1 over 4 }
Multiply the radical expressions and simplify the answer
a A LaTex expression showing 120
b A LaTex expression showing 30
c A LaTex expression showing 90
d A LaTex expression showing 1
4
A LaTex expression showing \frac{square root of 12 times square root of 48}{1 over 2 }
Multiply the radical expressions and simplify the answer
a A LaTex expression showing 24
b A LaTex expression showing 48
c A LaTex expression showing 96
5
A LaTex expression showing \frac{square root of 8 times square root of 32}{1 over 4 }
Multiply the radical expressions and simplify the answer
a A LaTex expression showing 16
b A LaTex expression showing 64
c A LaTex expression showing 256
6
A LaTex expression showing \frac{square root of 50 times square root of 18}{1 over 5 }
Multiply the radical expressions and simplify the answer
a A LaTex expression showing 30
b A LaTex expression showing 150
c A LaTex expression showing 1
7
A LaTex expression showing \frac{square root of 20 times square root of 80}{1 over 2 }
Multiply the radical expressions and simplify the answer
a A LaTex expression showing 160
b A LaTex expression showing 80
c A LaTex expression showing 40
d A LaTex expression showing 1
8
A LaTex expression showing \frac{square root of 75 times square root of 48}{1 over 4 }
Multiply the radical expressions and simplify the answer
a A LaTex expression showing 960
b A LaTex expression showing 60
c A LaTex expression showing 240