Radicals

Multiplying Monomials (Values and Variables) over Unit Fraction (Level 2)

The math topic involves practicing the multiplication of monomial radical expressions, particularly when these expressions are divided over a unit fraction. This includes simplifying the resulting expressions after multiplication. The task primarily deals with combining the roots of variable terms and constants, which tests and develops skills in manipulating radicals and exponents. The specific focus on dealing with unit fractions adds an additional element, requiring the student to understand and manage expressions involving division by fractions. The worksheet covers a variety of examples to solidify these concepts.

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 80n times square root of 20n}{1 over 5 }
a A LaTex expression showing 40{n} to the power of 2
b A LaTex expression showing 80n
c A LaTex expression showing 1000
d A LaTex expression showing 160n
e A LaTex expression showing 200n
2
Multiply the radical expressions and simplify the answer
A LaTex expression showing \frac{square root of 75 times square root of 48{y to the power of 2 }}{1 over 5 }
a A LaTex expression showing 60ysquare root of y
b A LaTex expression showing 1500y
c A LaTex expression showing 1500square root of y
d A LaTex expression showing 300y
3
Multiply the radical expressions and simplify the answer
A LaTex expression showing \frac{square root of 18{p to the power of 2 } times square root of 50{p to the power of 4 }}{1 over 5 }
a A LaTex expression showing 30{p} to the power of 4
b A LaTex expression showing 150{p} to the power of 3
c A LaTex expression showing {p} to the power of 3
d A LaTex expression showing 30{p} to the power of 2 square root of p
e A LaTex expression showing 30{p} to the power of 3
4
Multiply the radical expressions and simplify the answer
A LaTex expression showing \frac{square root of 12y times square root of 75{y to the power of 3 }}{1 over 3 }
a A LaTex expression showing 30ysquare root of y
b A LaTex expression showing 30{y} to the power of 3
c A LaTex expression showing 60{y} to the power of 2
d A LaTex expression showing 90{y} to the power of 2
e A LaTex expression showing 30y
5
Multiply the radical expressions and simplify the answer
A LaTex expression showing \frac{square root of 50z times square root of 32{z to the power of 3 }}{1 over 2 }
a A LaTex expression showing 40zsquare root of z
b A LaTex expression showing 80{z} to the power of 2
c A LaTex expression showing 40{z} to the power of 2
d A LaTex expression showing 160{z} to the power of 2
6
Multiply the radical expressions and simplify the answer
A LaTex expression showing \frac{square root of 12 times square root of 27{q to the power of 4 }}{1 over 3 }
a A LaTex expression showing 162{q} to the power of 2
b A LaTex expression showing 72{q} to the power of 2
c A LaTex expression showing 54{q} to the power of 2
d A LaTex expression showing 18qsquare root of q
e A LaTex expression showing 18{q} to the power of 2
7
Multiply the radical expressions and simplify the answer
A LaTex expression showing \frac{square root of 32{m to the power of 4 } times square root of 18{m to the power of 4 }}{1 over 4 }
a A LaTex expression showing 384{m} to the power of 4
b A LaTex expression showing 96{m} to the power of 4
c A LaTex expression showing 24{m} to the power of 3 square root of m
d A LaTex expression showing 120{m} to the power of 4
8
Multiply the radical expressions and simplify the answer
A LaTex expression showing \frac{square root of 28{w to the power of 2 } times square root of 112{w to the power of 3 }}{1 over 5 }
a A LaTex expression showing 56{w} to the power of 2
b A LaTex expression showing 56{w} to the power of 2 square root of w
c A LaTex expression showing {w} to the power of 2 square root of w
d A LaTex expression showing 56wsquare root of w
e A LaTex expression showing 280{w} to the power of 2 square root of w