Radicals

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 48{t to the power of 2 } times square root of 3t
a A LaTex expression showing 60tsquare root of t
b A LaTex expression showing 12{t} to the power of 2
c A LaTex expression showing 12t
d A LaTex expression showing 12tsquare root of t
2
Multiply the radical expressions and simplify the answer
A LaTex expression showing square root of 7{z to the power of 3 } times square root of 175{z to the power of 3 }
a A LaTex expression showing 35{z} to the power of 3
b A LaTex expression showing 35{z} to the power of 4
c A LaTex expression showing 35{z} to the power of 2
d A LaTex expression showing 35{z} to the power of 3 square root of z
3
Multiply the radical expressions and simplify the answer
A LaTex expression showing square root of 80p times square root of 5{p to the power of 4 }
a A LaTex expression showing 20{p} to the power of 3 square root of p
b A LaTex expression showing 20{p} to the power of 2
c A LaTex expression showing 20{p} to the power of 3
d A LaTex expression showing 20psquare root of p
e A LaTex expression showing 20{p} to the power of 2 square root of p
4
Multiply the radical expressions and simplify the answer
A LaTex expression showing square root of 125{r to the power of 3 } times square root of 5
a A LaTex expression showing 25r
b A LaTex expression showing 25{r} to the power of 2
c A LaTex expression showing rsquare root of r
d A LaTex expression showing 25rsquare root of r
5
Multiply the radical expressions and simplify the answer
A LaTex expression showing square root of 32{r to the power of 4 } times square root of 2
a A LaTex expression showing 8r
b A LaTex expression showing 32{r} to the power of 2
c A LaTex expression showing 8{r} to the power of 2
6
Multiply the radical expressions and simplify the answer
A LaTex expression showing square root of 8 times square root of 2{z to the power of 2 }
a A LaTex expression showing 4zsquare root of 3
b A LaTex expression showing 4z
c A LaTex expression showing 4zsquare root of z
7
Multiply the radical expressions and simplify the answer
A LaTex expression showing square root of 20x times square root of 5x
a A LaTex expression showing 10x
b A LaTex expression showing 10square root of x
c A LaTex expression showing x
8
Multiply the radical expressions and simplify the answer
A LaTex expression showing square root of 75{p to the power of 2 } times square root of 3
a A LaTex expression showing p
b A LaTex expression showing 15p
c A LaTex expression showing 15
d A LaTex expression showing 15square root of p