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

This math topic focuses on practicing the multiplication and simplification of radical expressions involving monomials, both numerical and with variables, often involving fractions. It covers foundational skills necessary to combine and simplify terms under radicals which may include perfect squares and cube roots, along with algebraic manipulation of expressions involving variables raised to different powers. The problems also emphasize simplifying complex radical expressions by utilizing multiplication rules and reducing resulting fractions, key skills in algebra especially with radicals and exponents.

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 Fraction Worksheet

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Math worksheet on 'Radicals - Multiplying Monomials (Values and Variables) over Fraction (Level 1)'. Part of a broader unit on 'Radicals - Multiplication Intro' Learn online: app.mobius.academy/math/units/radicals_multiplication_intro/
1
A LaTex expression showing square root of 112{n to the power of 3 } times square root of 7n
Multiply the radical expressions and simplify the answer
a A LaTex expression showing 140{n} to the power of 2
b A LaTex expression showing 28{n} to the power of 3
c A LaTex expression showing 28{n} to the power of 2
d A LaTex expression showing 28n
2
A LaTex expression showing \frac{square root of 11{p to the power of 4 } times square root of 99{p to the power of 2 }}{11 over 4 }
Multiply the radical expressions and simplify the answer
a A LaTex expression showing 4{p} to the power of 3
b A LaTex expression showing 33{p} to the power of 3 square root of p
c A LaTex expression showing 33{p} to the power of 2 square root of p
d A LaTex expression showing 12{p} to the power of 3
3
Multiply the radical expressions and simplify the answer
A LaTex expression showing \frac{square root of 117 times square root of 13}{13 over 2 }
a A LaTex expression showing 39
b A LaTex expression showing 6
4
A LaTex expression showing \frac{square root of 28 times square root of 7{n to the power of 4 }}{7 over 3 }
Multiply the radical expressions and simplify the answer
a A LaTex expression showing 2{n} to the power of 2 square root of n
b A LaTex expression showing 6{n} to the power of 2
c A LaTex expression showing 2{n} to the power of 2
d A LaTex expression showing 14nsquare root of n
5
A LaTex expression showing square root of 2{m to the power of 3 } times square root of 50{m to the power of 2 }
Multiply the radical expressions and simplify the answer
a A LaTex expression showing 10{m} to the power of 2 square root of m
b A LaTex expression showing 10{m} to the power of 2
c A LaTex expression showing 10{m} to the power of 3 square root of m
6
A LaTex expression showing \frac{square root of 5{y to the power of 2 } times square root of 80{y to the power of 2 }}{2 over 3 }
Multiply the radical expressions and simplify the answer
a A LaTex expression showing 20{y} to the power of 2
b A LaTex expression showing 30{y} to the power of 2
c A LaTex expression showing 20y
d A LaTex expression showing 20ysquare root of y
7
A LaTex expression showing \frac{square root of 3{n to the power of 2 } times square root of 75n}{3 over 5 }
Multiply the radical expressions and simplify the answer
a A LaTex expression showing 25nsquare root of n
b A LaTex expression showing 15nsquare root of n
c A LaTex expression showing 41n
d A LaTex expression showing 41nsquare root of n
e A LaTex expression showing 15{n} to the power of 2 square root of n
Radicals - Multiplying Monomials (Values and Variables) over Fraction (Level 1) - Mobius Math Academy