Radicals

Multiplying Monomials (Values and Variables) over Unit Fraction (Level 1)

This math topic focuses on practicing the multiplication of monomials involving radicals (square roots), where the products are divided by unit fractions. The problems involve variables with algebraic expressions under radical signs and require simplification after the operations. Each question presents multiple choices for the simplified result, reinforcing the concepts of manipulating and simplifying radicals, managing powers of variables, and handling fractions within radical expressions.

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 Unit Fraction Worksheet

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Radicals - Multiplying Monomials (Values and Variables) over Unit Fra...
1
Multiply the radical expressions and simplify the answer
A LaTex expression showing \frac{square root of 2q times square root of 8}{1 over 4 }
a A LaTex expression showing 4q
b A LaTex expression showing 4square root of q
c A LaTex expression showing 16square root of q
d A LaTex expression showing 4
2
Multiply the radical expressions and simplify the answer
A LaTex expression showing \frac{square root of 20 times square root of 5}{1 over 5 }
a A LaTex expression showing 50
b A LaTex expression showing 250
c A LaTex expression showing 10
d A LaTex expression showing 30
e A LaTex expression showing 1
3
Multiply the radical expressions and simplify the answer
A LaTex expression showing \frac{square root of 28{y to the power of 2 } times square root of 7{y to the power of 2 }}{1 over 2 }
a A LaTex expression showing {y} to the power of 2
b A LaTex expression showing 56{y} to the power of 2 square root of y
c A LaTex expression showing 14{y} to the power of 2
d A LaTex expression showing 28{y} to the power of 2
4
Multiply the radical expressions and simplify the answer
A LaTex expression showing \frac{square root of 2{r to the power of 2 } times square root of 32{r to the power of 3 }}{1 over 5 }
a A LaTex expression showing {r} to the power of 2 square root of r
b A LaTex expression showing 8{r} to the power of 2 square root of r
c A LaTex expression showing 8{r} to the power of 2
d A LaTex expression showing 40{r} to the power of 2 square root of r
e A LaTex expression showing 8{r} to the power of 3
5
Multiply the radical expressions and simplify the answer
A LaTex expression showing \frac{square root of 99{w to the power of 4 } times square root of 11{w to the power of 2 }}{1 over 5 }
a A LaTex expression showing 825{w} to the power of 2 square root of w
b A LaTex expression showing 33{w} to the power of 3
c A LaTex expression showing 33{w} to the power of 2
d A LaTex expression showing 165{w} to the power of 3
6
Multiply the radical expressions and simplify the answer
A LaTex expression showing \frac{square root of 13 times square root of 117}{1 over 2 }
a A LaTex expression showing 1
b A LaTex expression showing 78
c A LaTex expression showing 39
7
Multiply the radical expressions and simplify the answer
A LaTex expression showing \frac{square root of 99{q to the power of 4 } times square root of 11{q to the power of 2 }}{1 over 3 }
a A LaTex expression showing 297{q} to the power of 2 square root of q
b A LaTex expression showing 297{q} to the power of 3
c A LaTex expression showing 33{q} to the power of 3
d A LaTex expression showing 99{q} to the power of 3
8
Multiply the radical expressions and simplify the answer
A LaTex expression showing \frac{square root of 2 times square root of 18}{1 over 4 }
a A LaTex expression showing 24
b A LaTex expression showing 6
c A LaTex expression showing 1
d A LaTex expression showing 18
e A LaTex expression showing 96