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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Radicals - Multiplying Monomials (Values and Variables)
1
Multiply the radical expressions and simplify the answer
A LaTex expression showing square root of 325{r to the power of 4 } times square root of 13{r to the power of 3 }
a A LaTex expression showing 65{r} to the power of 3 square root of r
b A LaTex expression showing 65{r} to the power of 4 square root of r
c A LaTex expression showing 65{r} to the power of 3
d A LaTex expression showing 65{r} to the power of 4
2
Multiply the radical expressions and simplify the answer
A LaTex expression showing square root of 20{d to the power of 4 } times square root of 5d
a A LaTex expression showing 10{d} to the power of 2 square root of d
b A LaTex expression showing 10{d} to the power of 2
c A LaTex expression showing 10{d} to the power of 3 square root of d
d A LaTex expression showing 10dsquare root of d
3
Multiply the radical expressions and simplify the answer
A LaTex expression showing square root of 50 times square root of 2{y to the power of 3 }
a A LaTex expression showing ysquare root of y
b A LaTex expression showing 10{y} to the power of 2
c A LaTex expression showing 10{y} to the power of 2 square root of y
d A LaTex expression showing 10ysquare root of y
4
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 52rsquare root of r
b A LaTex expression showing 52{r} to the power of 2
c A LaTex expression showing 52r
5
Multiply the radical expressions and simplify the answer
A LaTex expression showing square root of 208{y to the power of 2 } times square root of 13y
a A LaTex expression showing 52square root of y
b A LaTex expression showing 52ysquare root of y
c A LaTex expression showing 260ysquare root of y
6
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 44m
b A LaTex expression showing 44square root of m
c A LaTex expression showing 44square root of {m to the power of -1 }
d A LaTex expression showing 44msquare root of m
7
Multiply the radical expressions and simplify the answer
A LaTex expression showing square root of 50 times square root of 2{x to the power of 3 }
a A LaTex expression showing 10x
b A LaTex expression showing 10square root of x
c A LaTex expression showing 20xsquare root of x
d A LaTex expression showing 10xsquare root of x
8
Multiply the radical expressions and simplify the answer
A LaTex expression showing square root of 20c times square root of 5{c to the power of 4 }
a A LaTex expression showing 10{c} to the power of 3
b A LaTex expression showing 10csquare root of c
c A LaTex expression showing 10{c} to the power of 2 square root of c
d A LaTex expression showing 10{c} to the power of 2