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
Math worksheet on 'Radicals - Multiplying Monomials (Values and Variables) over Fraction (Level 3)'. Part of a broader unit on 'Radicals - Multiplication Intro' Learn online: app.mobius.academy/math/units/radicals_multiplication_intro/
1
A LaTex expression showing \frac{square root of 18{m to the power of 2 } times square root of 45{m to the power of 4 {d} to the power of 4 }}{3 over 2 }
Multiply the radical expressions and simplify the answer
a A LaTex expression showing 9{m} to the power of 3 {d} to the power of 2 square root of 10m
b A LaTex expression showing 4{m} to the power of 3 dsquare root of 10d
c A LaTex expression showing 9{m} to the power of 2 {d} to the power of 2 square root of 10
d A LaTex expression showing 6{m} to the power of 3 {d} to the power of 2 square root of 10
e A LaTex expression showing 4{m} to the power of 3 {d} to the power of 2
2
A LaTex expression showing \frac{square root of 80y{d to the power of 2 } times square root of 50{d to the power of 2 }}{5 over 4 }
Multiply the radical expressions and simplify the answer
a A LaTex expression showing 12y{d} to the power of 2 square root of 10
b A LaTex expression showing 16{d} to the power of 2 square root of 10y
c A LaTex expression showing {d} to the power of 2 square root of y
d A LaTex expression showing 20{d} to the power of 2 square root of 10y
e A LaTex expression showing 60{d} to the power of 2 square root of 10y
3
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 9cdsquare root of 14d
b A LaTex expression showing 9{c} to the power of 2 dsquare root of 14d
c A LaTex expression showing 9{c} to the power of 3 dsquare root of 14d
4
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 9ysquare root of 22y
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 18ysquare root of 22y
e A LaTex expression showing ysquare root of y
5
A LaTex expression showing \frac{square root of 44p{c to the power of 4 } times square root of 112{p to the power of 4 {c} to the power of 2 }}{2 over 5 }
Multiply the radical expressions and simplify the answer
a A LaTex expression showing 8{p} to the power of 2 {c} to the power of 3 square root of 77
b A LaTex expression showing 8{p} to the power of 2 {c} to the power of 4 square root of 77p
c A LaTex expression showing 50{p} to the power of 2 {c} to the power of 3 square root of 77p
d A LaTex expression showing 20{p} to the power of 2 {c} to the power of 3 square root of 77p
e A LaTex expression showing 16{p} to the power of 2 {c} to the power of 3 square root of 77p
6
A LaTex expression showing \frac{square root of 48{c to the power of 2 n} times square root of 27{c to the power of 4 {n} to the power of 4 }}{3 over 5 }
Multiply the radical expressions and simplify the answer
a A LaTex expression showing 100{c} to the power of 3 {n} to the power of 2 square root of cn
b A LaTex expression showing 36{c} to the power of 3 {n} to the power of 2 square root of n
c A LaTex expression showing 60{c} to the power of 3 {n} to the power of 2 square root of n
d A LaTex expression showing {c} to the power of 3 {n} to the power of 2 square root of n
7
A LaTex expression showing \frac{square root of 32p{x to the power of 3 } times square root of 99px}{3 over 2 }
Multiply the radical expressions and simplify the answer
a A LaTex expression showing 12p{x} to the power of 2 square root of 22x
b A LaTex expression showing 8p{x} to the power of 2 square root of 22
c A LaTex expression showing 12pxsquare root of 22x
d A LaTex expression showing 24p{x} to the power of 2 square root of 22
e A LaTex expression showing 12{x} to the power of 2 square root of 22p