Radicals

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
Multiply the radical expressions and simplify the answer
A LaTex expression showing \frac{square root of 45 times square root of 20}{1 over 2 }
a A LaTex expression showing 120
b A LaTex expression showing 60
c A LaTex expression showing 30
2
Multiply the radical expressions and simplify the answer
A LaTex expression showing \frac{square root of 50 times square root of 18}{1 over 2 }
a A LaTex expression showing 30
b A LaTex expression showing 60
c A LaTex expression showing 1
3
Multiply the radical expressions and simplify the answer
A LaTex expression showing \frac{square root of 20 times square root of 80}{1 over 4 }
a A LaTex expression showing 40
b A LaTex expression showing 160
c A LaTex expression showing 1
4
Multiply the radical expressions and simplify the answer
A LaTex expression showing \frac{square root of 32 times square root of 18}{1 over 5 }
a A LaTex expression showing 600
b A LaTex expression showing 120
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}{1 over 4 }
a A LaTex expression showing 96
b A LaTex expression showing 24
c A LaTex expression showing 48
d A LaTex expression showing 384
6
Multiply the radical expressions and simplify the answer
A LaTex expression showing \frac{square root of 27 times square root of 12}{1 over 2 }
a A LaTex expression showing 72
b A LaTex expression showing 54
c A LaTex expression showing 18
d A LaTex expression showing 36
7
Multiply the radical expressions and simplify the answer
A LaTex expression showing \frac{square root of 8 times square root of 50}{1 over 5 }
a A LaTex expression showing 500
b A LaTex expression showing 20
c A LaTex expression showing 100
8
Multiply the radical expressions and simplify the answer
A LaTex expression showing \frac{square root of 125 times square root of 20}{1 over 2 }
a A LaTex expression showing 50
b A LaTex expression showing 1
c A LaTex expression showing 200
d A LaTex expression showing 100