Multiplying Monomials (Values Only) over Unit Fraction (Level 3)

This math topic focuses on practicing the multiplication of radical expressions involving monomials and unit fractions. The core skill is to multiply monomial radical terms and then simplify the results, specifically over a unit fraction denominator, which essentially scales the simplified radical by a multiple. This involves working through multiple steps that require operations with radicals, simplifying square roots, and manipulating fractions to reach the final simplified form. There are several practice problems given, each with multiple choice answers, which help reinforce and test understanding of these operations in a systematic way.

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 Unit Fraction Worksheet

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Math worksheet on 'Radicals - Multiplying Monomials (Values Only) over Unit Fraction (Level 3)'. Part of a broader unit on 'Radicals - Multiplication Intro' Learn online: app.mobius.academy/math/units/radicals_multiplication_intro/
1
A LaTex expression showing \frac{square root of 117 times square root of 32}{1 over 5 }
Multiply the radical expressions and simplify the answer
a A LaTex expression showing 24square root of 26
b A LaTex expression showing 60square root of 26
c A LaTex expression showing 12
d A LaTex expression showing 12square root of 26
2
A LaTex expression showing \frac{square root of 8 times square root of 325}{1 over 3 }
Multiply the radical expressions and simplify the answer
a A LaTex expression showing 30square root of 26
b A LaTex expression showing 90square root of 26
c A LaTex expression showing 1
d A LaTex expression showing 10square root of 26
3
A LaTex expression showing \frac{square root of 75 times square root of 32}{1 over 3 }
Multiply the radical expressions and simplify the answer
a A LaTex expression showing 60square root of 6
b A LaTex expression showing 20square root of 6
c A LaTex expression showing 20
d A LaTex expression showing 180square root of 6
4
A LaTex expression showing \frac{square root of 18 times square root of 32}{1 over 5 }
Multiply the radical expressions and simplify the answer
a A LaTex expression showing 24
b A LaTex expression showing 120
c A LaTex expression showing 1
5
A LaTex expression showing \frac{square root of 28 times square root of 27}{1 over 2 }
Multiply the radical expressions and simplify the answer
a A LaTex expression showing 24square root of 21
b A LaTex expression showing 12square root of 21
c A LaTex expression showing 6square root of 21
6
A LaTex expression showing \frac{square root of 8 times square root of 75}{1 over 4 }
Multiply the radical expressions and simplify the answer
a A LaTex expression showing 10square root of 6
b A LaTex expression showing 10
c A LaTex expression showing 40square root of 6
d A LaTex expression showing 160square root of 6
7
A LaTex expression showing \frac{square root of 176 times square root of 28}{1 over 3 }
Multiply the radical expressions and simplify the answer
a A LaTex expression showing 24square root of 77
b A LaTex expression showing 72
c A LaTex expression showing 8square root of 77
d A LaTex expression showing 8