Radicals

Multiplying Monomials (Values Only) over Unit Fraction (Level 3)

This math topic focuses on practicing the multiplication of radical expressions involving monomials and unit fractions. The core skill is to multiply monomial radical terms and then simplify the results, specifically over a unit fraction denominator, which essentially scales the simplified radical by a multiple. This involves working through multiple steps that require operations with radicals, simplifying square roots, and manipulating fractions to reach the final simplified form. There are several practice problems given, each with multiple choice answers, which help reinforce and test understanding of these operations in a systematic way.

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 99 times square root of 50}{1 over 4 }
a A LaTex expression showing 15square root of 22
b A LaTex expression showing 1
c A LaTex expression showing 60square root of 22
d A LaTex expression showing 240
2
Multiply the radical expressions and simplify the answer
A LaTex expression showing \frac{square root of 20 times square root of 75}{1 over 2 }
a A LaTex expression showing 10
b A LaTex expression showing 20square root of 15
c A LaTex expression showing 1
d A LaTex expression showing 30square root of 15
e A LaTex expression showing 10square root of 15
3
Multiply the radical expressions and simplify the answer
A LaTex expression showing \frac{square root of 8 times square root of 20}{1 over 5 }
a A LaTex expression showing 100square root of 10
b A LaTex expression showing 4square root of 10
c A LaTex expression showing 20square root of 10
d A LaTex expression showing 12square root of 10
4
Multiply the radical expressions and simplify the answer
A LaTex expression showing \frac{square root of 63 times square root of 8}{1 over 2 }
a A LaTex expression showing 24square root of 14
b A LaTex expression showing 12square root of 14
c A LaTex expression showing 6square root of 14
5
Multiply the radical expressions and simplify the answer
A LaTex expression showing \frac{square root of 44 times square root of 112}{1 over 4 }
a A LaTex expression showing 128square root of 77
b A LaTex expression showing 8square root of 77
c A LaTex expression showing 32square root of 77
d A LaTex expression showing 128
e A LaTex expression showing 16square root of 77
6
Multiply the radical expressions and simplify the answer
A LaTex expression showing \frac{square root of 75 times square root of 12}{1 over 3 }
a A LaTex expression showing 30
b A LaTex expression showing 150
c A LaTex expression showing 1
d A LaTex expression showing 90
e A LaTex expression showing 270
7
Multiply the radical expressions and simplify the answer
A LaTex expression showing \frac{square root of 45 times square root of 44}{1 over 2 }
a A LaTex expression showing 12square root of 55
b A LaTex expression showing 24
c A LaTex expression showing 18square root of 55
d A LaTex expression showing 1
e A LaTex expression showing 6square root of 55
8
Multiply the radical expressions and simplify the answer
A LaTex expression showing \frac{square root of 27 times square root of 112}{1 over 2 }
a A LaTex expression showing 12
b A LaTex expression showing 12square root of 21
c A LaTex expression showing 48square root of 21
d A LaTex expression showing 24square root of 21