Multiplying Monomials (Values Only) over Integer (Level 2)

This topic focuses on multiplying monomial radical expressions with integers and simplifying the results. Skills practiced include handling square roots, performing multiplication involving radicals, simplifying expressions under radicals, and rationalizing denominators. Throughout, students are provided with expressions containing radicals, which they multiply and simplify to find the simplest form. The problems require essential understanding of radical properties and arithmetic operations involving roots, forming a foundational part of learning about radicals and their manipulation.

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

more
View

Radicals - Multiplying Monomials (Values Only) over Integer Worksheet

Mobius Math Academy logo
Math worksheet on 'Radicals - Multiplying Monomials (Values Only) over Integer (Level 2)'. Part of a broader unit on 'Radicals - Multiplication Intro' Learn online: app.mobius.academy/math/units/radicals_multiplication_intro/
1
Multiply the radical expressions and simplify the answer
A LaTex expression showing \frac{square root of 112 times square root of 28}{2}
a A LaTex expression showing 56
b A LaTex expression showing 28
c A LaTex expression showing 112
d A LaTex expression showing 14
2
Multiply the radical expressions and simplify the answer
A LaTex expression showing \frac{square root of 48 times square root of 12}{2}
a A LaTex expression showing 12
b A LaTex expression showing 6
c A LaTex expression showing 24
3
Multiply the radical expressions and simplify the answer
A LaTex expression showing \frac{square root of 12 times square root of 48}{2}
a A LaTex expression showing 1
b A LaTex expression showing 12
c A LaTex expression showing 6
d A LaTex expression showing 120
4
Multiply the radical expressions and simplify the answer
A LaTex expression showing \frac{square root of 8 times square root of 18}{2}
a A LaTex expression showing 6
b A LaTex expression showing 1
c A LaTex expression showing 12
d A LaTex expression showing 3
5
Multiply the radical expressions and simplify the answer
A LaTex expression showing \frac{square root of 27 times square root of 75}{5}
a A LaTex expression showing 45
b A LaTex expression showing 9
c A LaTex expression showing 1
6
Multiply the radical expressions and simplify the answer
A LaTex expression showing \frac{square root of 18 times square root of 32}{3}
a A LaTex expression showing 8
b A LaTex expression showing 120
c A LaTex expression showing 24
d A LaTex expression showing 1
7
Multiply the radical expressions and simplify the answer
A LaTex expression showing \frac{square root of 28 times square root of 112}{7}
a A LaTex expression showing 1
b A LaTex expression showing 8
c A LaTex expression showing 56