Multiplying Monomials (Values and Variables) over Integer (Level 1)

This math topic focuses on the skill of multiplying and simplifying monomial radical expressions involving values and variables over integers. It covers basic operations within radicals and handling both numerical and algebraic expressions. Each problem instructs learners to multiply radical expressions and provide simplified answers, helping students master fundamental concepts in manipulating square roots, variables, and coefficients in algebraic contexts.

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

more
View

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

Mobius Math Academy logo
Math worksheet on 'Radicals - Multiplying Monomials (Values and Variables) over Integer (Level 1)'. 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 99{x to the power of 4 } times square root of 11{x to the power of 2 }}{3}
a A LaTex expression showing 33{x} to the power of 3
b A LaTex expression showing {x} to the power of 3
c A LaTex expression showing 11{x} to the power of 3
d A LaTex expression showing 3{x} to the power of 2
e A LaTex expression showing 3{x} to the power of 4
2
Multiply the radical expressions and simplify the answer
A LaTex expression showing \frac{square root of 2{x to the power of 3 } times square root of 18{x to the power of 3 }}{3}
a A LaTex expression showing 0{x} to the power of 2 square root of x
b A LaTex expression showing 2{x} to the power of 3
c A LaTex expression showing 6{x} to the power of 4
d A LaTex expression showing 6{x} to the power of 3
e A LaTex expression showing 0{x} to the power of 3
3
Multiply the radical expressions and simplify the answer
A LaTex expression showing \frac{square root of 32{y to the power of 2 } times square root of 2}{2}
a A LaTex expression showing 2
b A LaTex expression showing 8ysquare root of y
c A LaTex expression showing 8y
d A LaTex expression showing 4y
e A LaTex expression showing 2y
4
Multiply the radical expressions and simplify the answer
A LaTex expression showing \frac{square root of 3 times square root of 48r}{2}
a A LaTex expression showing 12
b A LaTex expression showing 6square root of r
c A LaTex expression showing 12square root of r
d A LaTex expression showing 3square root of r
5
Multiply the radical expressions and simplify the answer
A LaTex expression showing \frac{square root of 13{y to the power of 3 } times square root of 52y}{13}
a A LaTex expression showing 26{y} to the power of 2
b A LaTex expression showing 26y
c A LaTex expression showing 0{y} to the power of 2
d A LaTex expression showing 2{y} to the power of 2
e A LaTex expression showing {y} to the power of 2
6
Multiply the radical expressions and simplify the answer
A LaTex expression showing \frac{square root of 325{c to the power of 2 } times square root of 13{c to the power of 4 }}{13}
a A LaTex expression showing 65{c} to the power of 4
b A LaTex expression showing 65{c} to the power of 2 square root of c
c A LaTex expression showing 5{c} to the power of 3
d A LaTex expression showing 65{c} to the power of 3
e A LaTex expression showing 65{c} to the power of 3 square root of c
7
Multiply the radical expressions and simplify the answer
A LaTex expression showing \frac{square root of 3m times square root of 48{m to the power of 3 }}{2}
a A LaTex expression showing 12{m} to the power of 2 square root of m
b A LaTex expression showing 6{m} to the power of 2
c A LaTex expression showing 12{m} to the power of 3
d A LaTex expression showing 12{m} to the power of 2
e A LaTex expression showing 12msquare root of m