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.

more
View

Radicals - Multiplying Monomials (Values Only) over Unit Fraction Worksheet

Mobius Math Academy logo
Radicals - Multiplying Monomials (Values Only) over Unit Fraction
1
A LaTex expression showing \frac{square root of 125 times square root of 32}{1 over 2 }
Multiply the radical expressions and simplify the answer
a A LaTex expression showing 80square root of 10
b A LaTex expression showing 20square root of 10
c A LaTex expression showing 40square root of 10
2
A LaTex expression showing \frac{square root of 63 times square root of 27}{1 over 3 }
Multiply the radical expressions and simplify the answer
a A LaTex expression showing 81
b A LaTex expression showing 9square root of 21
c A LaTex expression showing 27square root of 21
d A LaTex expression showing 1
3
A LaTex expression showing \frac{square root of 27 times square root of 63}{1 over 5 }
Multiply the radical expressions and simplify the answer
a A LaTex expression showing 1
b A LaTex expression showing 9
c A LaTex expression showing 45square root of 21
d A LaTex expression showing 225square root of 21
e A LaTex expression showing 36square root of 21
4
A LaTex expression showing \frac{square root of 20 times square root of 112}{1 over 2 }
Multiply the radical expressions and simplify the answer
a A LaTex expression showing 32
b A LaTex expression showing 8square root of 35
c A LaTex expression showing 16square root of 35
5
A LaTex expression showing \frac{square root of 63 times square root of 12}{1 over 4 }
Multiply the radical expressions and simplify the answer
a A LaTex expression showing 96square root of 21
b A LaTex expression showing 24square root of 21
c A LaTex expression showing 1
d A LaTex expression showing 96
e A LaTex expression showing 30square root of 21
6
A LaTex expression showing \frac{square root of 8 times square root of 28}{1 over 5 }
Multiply the radical expressions and simplify the answer
a A LaTex expression showing 20square root of 14
b A LaTex expression showing 1
c A LaTex expression showing 4
d A LaTex expression showing 4square root of 14
7
A LaTex expression showing \frac{square root of 99 times square root of 8}{1 over 5 }
Multiply the radical expressions and simplify the answer
a A LaTex expression showing 6square root of 22
b A LaTex expression showing 30square root of 22
c A LaTex expression showing 150
d A LaTex expression showing 6
8
A LaTex expression showing \frac{square root of 48 times square root of 28}{1 over 2 }
Multiply the radical expressions and simplify the answer
a A LaTex expression showing 1
b A LaTex expression showing 16square root of 21
c A LaTex expression showing 8square root of 21
d A LaTex expression showing 32