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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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Multiplying Monomials (Values and Variables)

Complete these online problems with 80% or 4 correct answers in a row. Results are immediate.

Multiply the radical expressions and simplify the answer

13r2â‹…117r3\sqrt{13{r}^{2}} \cdot \sqrt{117{r}^{3}}

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 112{x to the power of 3 } times square root of 7x
a A LaTex expression showing 28{x} to the power of 2 square root of x
b A LaTex expression showing 28{x} to the power of 3
c A LaTex expression showing 28{x} to the power of 2
d A LaTex expression showing 56{x} to the power of 2
e A LaTex expression showing {x} to the power of 2
f A LaTex expression showing 28x
2
Multiply the radical expressions and simplify the answer
A LaTex expression showing square root of 5{b to the power of 2 } times square root of 80{b to the power of 2 }
a A LaTex expression showing 100{b} to the power of 2
b A LaTex expression showing {b} to the power of 2
c A LaTex expression showing 20{b} to the power of 2 square root of b
d A LaTex expression showing 20b
e A LaTex expression showing 20{b} to the power of 2
f A LaTex expression showing 20bsquare root of b
3
Multiply the radical expressions and simplify the answer
A LaTex expression showing square root of 2 times square root of 50{n to the power of 2 }
a A LaTex expression showing n
b A LaTex expression showing 10nsquare root of n
c A LaTex expression showing 40n
d A LaTex expression showing 10
e A LaTex expression showing 10n
f A LaTex expression showing 20n
4
Multiply the radical expressions and simplify the answer
A LaTex expression showing square root of 11{x to the power of 2 } times square root of 275x
a A LaTex expression showing 110xsquare root of x
b A LaTex expression showing 220xsquare root of x
c A LaTex expression showing xsquare root of x
d A LaTex expression showing 275xsquare root of x
e A LaTex expression showing 55{x} to the power of 2 square root of x
f A LaTex expression showing 55xsquare root of x
5
Multiply the radical expressions and simplify the answer
A LaTex expression showing square root of 13{b to the power of 2 } times square root of 325b
a A LaTex expression showing 65b
b A LaTex expression showing 65{b} to the power of 2 square root of b
c A LaTex expression showing 65{b} to the power of 2
d A LaTex expression showing 260bsquare root of b
e A LaTex expression showing 65bsquare root of b
f A LaTex expression showing 65square root of b
6
Multiply the radical expressions and simplify the answer
A LaTex expression showing square root of 27{c to the power of 2 } times square root of 3{c to the power of 4 }
a A LaTex expression showing 9{c} to the power of 2
b A LaTex expression showing 9{c} to the power of 4
c A LaTex expression showing {c} to the power of 3
d A LaTex expression showing 36{c} to the power of 3
e A LaTex expression showing 9{c} to the power of 3
f A LaTex expression showing 9{c} to the power of 3 square root of c
7
Multiply the radical expressions and simplify the answer
A LaTex expression showing square root of 13z times square root of 52{z to the power of 4 }
a A LaTex expression showing 26zsquare root of z
b A LaTex expression showing 26{z} to the power of 3 square root of z
c A LaTex expression showing {z} to the power of 2 square root of z
d A LaTex expression showing 26{z} to the power of 3
e A LaTex expression showing 26{z} to the power of 2
f A LaTex expression showing 26{z} to the power of 2 square root of z