Multiplying Monomials (Values and Variables) over Fraction (Level 3)

This math topic focuses on practicing the multiplication of monomial radical expressions that include variables and values, particularly when these expressions are presented as fractions. It allows students to explore the simplification of radical products involving numerical and variable factors. Each question presents various answer options, suggesting a multiple-choice format that reinforces understanding of radical expressions and complex algebraic multiplication. The topic is a deeper dive into multiplying and simplifying radicals, which is part of an introductory curriculum on radical multiplications.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

more
View

Radicals - Multiplying Monomials (Values and Variables) over Fraction Worksheet

Mobius Math Academy logo
Radicals - Multiplying Monomials (Values and Variables) over Fraction
1
A LaTex expression showing square root of 12y times square root of 325{m to the power of 3 {y} to the power of 3 }
Multiply the radical expressions and simplify the answer
a A LaTex expression showing 10{y} to the power of 2 msquare root of 39m
b A LaTex expression showing 50{y} to the power of 2 msquare root of 39m
c A LaTex expression showing 10{y} to the power of 2 {m} to the power of 2 square root of 39
d A LaTex expression showing 10{y} to the power of 2 msquare root of m
e A LaTex expression showing 10{y} to the power of 2 square root of 39m
2
A LaTex expression showing square root of 63{c to the power of 2 } times square root of 18{d to the power of 3 {c} to the power of 2 }
Multiply the radical expressions and simplify the answer
a A LaTex expression showing 9{c} to the power of 2 dsquare root of 14d
b A LaTex expression showing 9cdsquare root of 14d
c A LaTex expression showing 9{c} to the power of 3 dsquare root of 14d
3
A LaTex expression showing \frac{square root of 99{y to the power of 2 } times square root of 8y}{2 over 3 }
Multiply the radical expressions and simplify the answer
a A LaTex expression showing ysquare root of y
b A LaTex expression showing 6{y} to the power of 2 square root of 22y
c A LaTex expression showing 13ysquare root of 22y
d A LaTex expression showing 9ysquare root of 22y
e A LaTex expression showing 18ysquare root of 22y
4
A LaTex expression showing \frac{square root of 125d times square root of 8{d to the power of 4 {z} to the power of 3 }}{2 over 3 }
Multiply the radical expressions and simplify the answer
a A LaTex expression showing 10{d} to the power of 2 {z} to the power of 2 square root of 10dz
b A LaTex expression showing 15{d} to the power of 2 zsquare root of 10dz
c A LaTex expression showing 10{d} to the power of 2 square root of 10dz
d A LaTex expression showing 10{d} to the power of 2 zsquare root of 10dz
5
A LaTex expression showing square root of 8m{n to the power of 2 } times square root of 99{m to the power of 2 n}
Multiply the radical expressions and simplify the answer
a A LaTex expression showing 6mnsquare root of 22mn
b A LaTex expression showing 6nsquare root of 22mn
c A LaTex expression showing mnsquare root of mn
d A LaTex expression showing 6m{n} to the power of 2 square root of 22m
6
A LaTex expression showing \frac{square root of 117{m to the power of 2 {c} to the power of 3 } times square root of 28{m to the power of 2 {c} to the power of 4 }}{2 over 4 }
Multiply the radical expressions and simplify the answer
a A LaTex expression showing 24{m} to the power of 2 {c} to the power of 2 square root of 91c
b A LaTex expression showing 12{m} to the power of 2 {c} to the power of 3 square root of 91c
c A LaTex expression showing 24{m} to the power of 3 {c} to the power of 3 square root of 91c
d A LaTex expression showing 6{m} to the power of 2 {c} to the power of 2 square root of 91c
e A LaTex expression showing 24{m} to the power of 2 {c} to the power of 3 square root of c
7
A LaTex expression showing \frac{square root of 27{d to the power of 3 } times square root of 176{x to the power of 2 {d} to the power of 4 }}{3 over 5 }
Multiply the radical expressions and simplify the answer
a A LaTex expression showing 12{d} to the power of 3 xsquare root of 33dx
b A LaTex expression showing 12{d} to the power of 3 square root of 33d
c A LaTex expression showing 12{d} to the power of 3 square root of 33dx
d A LaTex expression showing 33{d} to the power of 3 {x} to the power of 2 square root of 33d
e A LaTex expression showing 20{d} to the power of 3 xsquare root of 33d
8
A LaTex expression showing \frac{square root of 27{n to the power of 4 {x} to the power of 4 } times square root of 20{n to the power of 3 {x} to the power of 3 }}{2 over 5 }
Multiply the radical expressions and simplify the answer
a A LaTex expression showing 6{n} to the power of 3 {x} to the power of 2 square root of 15nx
b A LaTex expression showing 37{n} to the power of 3 {x} to the power of 3 square root of 15nx
c A LaTex expression showing {n} to the power of 3 {x} to the power of 3 square root of nx
d A LaTex expression showing 6{n} to the power of 4 {x} to the power of 3 square root of 15nx
e A LaTex expression showing 15{n} to the power of 3 {x} to the power of 3 square root of 15nx