Multiplying Monomials (Values and Variables) (Level 1)

This topic focuses on practicing the multiplication of monomial radicals, which involve both numerical coefficients and variable terms under the radical sign. The goal is to multiply these radical expressions and simplify the results. Each problem presents a pair of radicals that need to be multiplied and offers multiple-choice answers, providing an opportunity to apply the properties of exponents and the rules for multiplying and simplifying radicals. This set of problems is included in a broader unit on an introduction to radical multiplication.

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

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Radicals - Multiplying Monomials (Values and Variables) Worksheet

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Math worksheet on 'Radicals - Multiplying Monomials (Values and Variables) (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 square root of 176m times square root of 11
a A LaTex expression showing 44square root of m
b A LaTex expression showing 44msquare root of m
c A LaTex expression showing 44square root of {m to the power of -1 }
d A LaTex expression showing 44m
2
Multiply the radical expressions and simplify the answer
A LaTex expression showing square root of 27 times square root of 3{r to the power of 3 }
a A LaTex expression showing 9{r} to the power of 2
b A LaTex expression showing 9rsquare root of r
c A LaTex expression showing 9square root of r
3
Multiply the radical expressions and simplify the answer
A LaTex expression showing square root of 13 times square root of 208{r to the power of 2 }
a A LaTex expression showing 52r
b A LaTex expression showing 52{r} to the power of 2
c A LaTex expression showing 52rsquare root of r
4
Multiply the radical expressions and simplify the answer
A LaTex expression showing square root of 44r times square root of 11{r to the power of 4 }
a A LaTex expression showing 22{r} to the power of 3 square root of r
b A LaTex expression showing 22{r} to the power of 3
c A LaTex expression showing 22{r} to the power of 2 square root of r
5
Multiply the radical expressions and simplify the answer
A LaTex expression showing square root of 5z times square root of 45{z to the power of 3 }
a A LaTex expression showing 15z
b A LaTex expression showing 15{z} to the power of 3
c A LaTex expression showing 15zsquare root of z
d A LaTex expression showing 15{z} to the power of 2
6
Multiply the radical expressions and simplify the answer
A LaTex expression showing square root of 3d times square root of 12
a A LaTex expression showing 12square root of d
b A LaTex expression showing 6dsquare root of d
c A LaTex expression showing 6square root of {d to the power of -1 }
d A LaTex expression showing 6square root of d
7
Multiply the radical expressions and simplify the answer
A LaTex expression showing square root of 2{p to the power of 2 } times square root of 18{p to the power of 3 }
a A LaTex expression showing 24{p} to the power of 2 square root of p
b A LaTex expression showing 6{p} to the power of 3
c A LaTex expression showing 12{p} to the power of 2 square root of p
d A LaTex expression showing 6{p} to the power of 2 square root of p
Radicals - Multiplying Monomials (Values and Variables) (Level 1) - Mobius Math Academy