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Radicals

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.

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

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Radicals - Multiplying Monomials (Values and Variables) over Integer
1
Multiply the radical expressions and simplify the answer
A LaTex expression showing \frac{square root of 11t times square root of 176{t to the power of 4 }}{11}
a A LaTex expression showing 176{t} to the power of 2 square root of t
b A LaTex expression showing 132{t} to the power of 2 square root of t
c A LaTex expression showing 4{t} to the power of 2 square root of t
d A LaTex expression showing 44tsquare root of t
e A LaTex expression showing 44{t} to the power of 3 square root of t
2
Multiply the radical expressions and simplify the answer
A LaTex expression showing \frac{square root of 27x times square root of 3{x to the power of 3 }}{3}
a A LaTex expression showing x
b A LaTex expression showing 3{x} to the power of 2
c A LaTex expression showing 9x
d A LaTex expression showing 9xsquare root of x
e A LaTex expression showing 9{x} to the power of 2
3
Multiply the radical expressions and simplify the answer
A LaTex expression showing \frac{square root of 325{n to the power of 2 } times square root of 13{n to the power of 3 }}{13}
a A LaTex expression showing 5{n} to the power of 2 square root of n
b A LaTex expression showing 65nsquare root of n
c A LaTex expression showing 65{n} to the power of 3 square root of n
d A LaTex expression showing 65{n} to the power of 2 square root of n
4
Multiply the radical expressions and simplify the answer
A LaTex expression showing \frac{square root of 75{q to the power of 4 } times square root of 3{q to the power of 4 }}{3}
a A LaTex expression showing {q} to the power of 3
b A LaTex expression showing {q} to the power of 4
c A LaTex expression showing 15{q} to the power of 3
d A LaTex expression showing 5{q} to the power of 4
5
Multiply the radical expressions and simplify the answer
A LaTex expression showing \frac{square root of 48{r to the power of 3 } times square root of 3{r to the power of 4 }}{3}
a A LaTex expression showing 12{r} to the power of 3 square root of r
b A LaTex expression showing 12{r} to the power of 4 square root of r
c A LaTex expression showing 4{r} to the power of 3 square root of r
d A LaTex expression showing 12{r} to the power of 2 square root of r
e A LaTex expression showing 12{r} to the power of 3
6
Multiply the radical expressions and simplify the answer
A LaTex expression showing \frac{square root of 20q times square root of 5{q to the power of 2 }}{2}
a A LaTex expression showing 10square root of q
b A LaTex expression showing 40qsquare root of q
c A LaTex expression showing 5qsquare root of q
d A LaTex expression showing 10{q} to the power of 2
7
Multiply the radical expressions and simplify the answer
A LaTex expression showing \frac{square root of 5{n to the power of 2 } times square root of 20{n to the power of 4 }}{2}
a A LaTex expression showing 10{n} to the power of 2 square root of n
b A LaTex expression showing 2{n} to the power of 3
c A LaTex expression showing 10{n} to the power of 4
d A LaTex expression showing 5{n} to the power of 3
8
Multiply the radical expressions and simplify the answer
A LaTex expression showing \frac{square root of 5{r to the power of 4 } times square root of 45r}{5}
a A LaTex expression showing 3{r} to the power of 2 square root of r
b A LaTex expression showing {r} to the power of 2 square root of r
c A LaTex expression showing 15{r} to the power of 3 square root of r
d A LaTex expression showing 0{r} to the power of 3 square root of r