Multiplying Monomials (Values Only) over Fraction (Level 2)

This math topic focuses on multiplying monomials under radicals while involving fractional components. It entails simplifying radical expressions after using properties of radicals and fractions to multiply them. The problems generally present mathematic expressions that require students to multiply square roots of numbers and simplify when necessary, sometimes with additional division by a fractional factor to intensify the calculations. This set of problems advances the understanding and manipulation of radicals, especially in scenarios involving division, to reach simplified or exact results, nurturing comfort and skills with radical and fractional arithmetic.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

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Radicals - Multiplying Monomials (Values Only) over Fraction Worksheet

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Math worksheet on 'Radicals - Multiplying Monomials (Values Only) over Fraction (Level 2)'. 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 20 times square root of 80
a A LaTex expression showing 40
b A LaTex expression showing 120
c A LaTex expression showing 1
2
Multiply the radical expressions and simplify the answer
A LaTex expression showing \frac{square root of 28 times square root of 63}{7 over 3 }
a A LaTex expression showing 42
b A LaTex expression showing 18
c A LaTex expression showing 126
d A LaTex expression showing 7
3
Multiply the radical expressions and simplify the answer
A LaTex expression showing \frac{square root of 50 times square root of 18}{2 over 5 }
a A LaTex expression showing 30
b A LaTex expression showing 187
c A LaTex expression showing 75
4
Multiply the radical expressions and simplify the answer
A LaTex expression showing \frac{square root of 75 times square root of 12}{3 over 4 }
a A LaTex expression showing 30
b A LaTex expression showing 40
c A LaTex expression showing 53
5
Multiply the radical expressions and simplify the answer
A LaTex expression showing \frac{square root of 28 times square root of 175}{7 over 5 }
a A LaTex expression showing 70
b A LaTex expression showing 35
c A LaTex expression showing 50
6
Multiply the radical expressions and simplify the answer
A LaTex expression showing \frac{square root of 18 times square root of 8}{3 over 4 }
a A LaTex expression showing 16
b A LaTex expression showing 24
c A LaTex expression showing 12
7
Multiply the radical expressions and simplify the answer
A LaTex expression showing \frac{square root of 50 times square root of 32}{5 over 4 }
a A LaTex expression showing 120
b A LaTex expression showing 40
c A LaTex expression showing 160
d A LaTex expression showing 32