Multiplying Monomials (Values Only) over Integer (Level 3)

This math topic is focused on practicing the multiplication of monomial radicals over integers and simplifying the results. It encompasses seven questions where students are prompted to multiply radical expressions and choose the correct simplified form from multiple choice answers. This topic is designed to help students understand and apply the rules for multiplying radicals, particularly in the context of multiplying square roots and rationalizing denominators. The problems are structured to aid in mastering the simplification of radical expressions, enhancing fluency in handling square roots and integer factors.

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 Integer Worksheet

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Math worksheet on 'Radicals - Multiplying Monomials (Values Only) over Integer (Level 3)'. 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 \frac{square root of 45 times square root of 8}{3}
a A LaTex expression showing 30square root of 10
b A LaTex expression showing 0square root of 10
c A LaTex expression showing 6square root of 10
d A LaTex expression showing 2square root of 10
2
Multiply the radical expressions and simplify the answer
A LaTex expression showing \frac{square root of 63 times square root of 20}{2}
a A LaTex expression showing 3square root of 35
b A LaTex expression showing square root of 35
c A LaTex expression showing 6square root of 35
d A LaTex expression showing 1
3
Multiply the radical expressions and simplify the answer
A LaTex expression showing \frac{square root of 27 times square root of 176}{2}
a A LaTex expression showing 3square root of 33
b A LaTex expression showing 60square root of 33
c A LaTex expression showing 1
d A LaTex expression showing 12square root of 33
e A LaTex expression showing 6square root of 33
4
Multiply the radical expressions and simplify the answer
A LaTex expression showing \frac{square root of 75 times square root of 18}{3}
a A LaTex expression showing 5square root of 6
b A LaTex expression showing square root of 6
c A LaTex expression showing 1
d A LaTex expression showing 15square root of 6
5
Multiply the radical expressions and simplify the answer
A LaTex expression showing \frac{square root of 8 times square root of 80}{2}
a A LaTex expression showing 4square root of 10
b A LaTex expression showing 1
c A LaTex expression showing 8
d A LaTex expression showing 8square root of 10
6
Multiply the radical expressions and simplify the answer
A LaTex expression showing \frac{square root of 45 times square root of 75}{5}
a A LaTex expression showing 1
b A LaTex expression showing 0square root of 15
c A LaTex expression showing 15
d A LaTex expression showing 3square root of 15
e A LaTex expression showing 0
7
Multiply the radical expressions and simplify the answer
A LaTex expression showing \frac{square root of 20 times square root of 175}{5}
a A LaTex expression showing 10square root of 35
b A LaTex expression showing 40square root of 35
c A LaTex expression showing 10
d A LaTex expression showing 2square root of 35