Divide Monomials (Values Only) (Level 1)

This math topic focuses on practicing the division of monomials involving radicals. Specifically, it helps to develop skills in simplifying expressions that involve the square roots of various numbers. Each problem presents a division of two radicals which must be simplified to the simplest form. This is part of an introductory unit on dividing radicals, aimed at enhancing understanding and fluency in managing radical expressions mathematically. The questions require deriving simplified answers, potentially helping students grasp the fundamental concepts of radical division and simplification.

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

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Radicals - Divide Monomials (Values Only) Worksheet

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Radicals - Divide Monomials (Values Only)
1
Divide the radical expressions and simplify the answer
A LaTex expression showing \frac{square root of 45}{square root of 5}
a A LaTex expression showing 2
b A LaTex expression showing 1 over 4
c A LaTex expression showing 3
d A LaTex expression showing 1
e A LaTex expression showing 2 over 3
2
Divide the radical expressions and simplify the answer
A LaTex expression showing \frac{square root of 50}{square root of 2}
a A LaTex expression showing 1
b A LaTex expression showing 5square root of 2
c A LaTex expression showing 5
d A LaTex expression showing \frac{square root of 2}{2}
3
Divide the radical expressions and simplify the answer
A LaTex expression showing \frac{square root of 7}{square root of 63}
a A LaTex expression showing 1 over 3
b A LaTex expression showing 1 over 4
c A LaTex expression showing 1
d A LaTex expression showing 5
4
Divide the radical expressions and simplify the answer
A LaTex expression showing \frac{square root of 2}{square root of 18}
a A LaTex expression showing 1
b A LaTex expression showing 1 over 6
c A LaTex expression showing 1 over 3
d A LaTex expression showing 2 over 3
5
Divide the radical expressions and simplify the answer
A LaTex expression showing \frac{square root of 112}{square root of 7}
a A LaTex expression showing 3 over 4
b A LaTex expression showing 1 over 2
c A LaTex expression showing 1 over 4
d A LaTex expression showing 4 over 3
e A LaTex expression showing 4
6
Divide the radical expressions and simplify the answer
A LaTex expression showing \frac{square root of 20}{square root of 5}
a A LaTex expression showing 1
b A LaTex expression showing 1 over 3
c A LaTex expression showing 2
d A LaTex expression showing 5
7
Divide the radical expressions and simplify the answer
A LaTex expression showing \frac{square root of 63}{square root of 7}
a A LaTex expression showing 1
b A LaTex expression showing \frac{3square root of 2}{4}
c A LaTex expression showing 6
d A LaTex expression showing 3
8
Divide the radical expressions and simplify the answer
A LaTex expression showing \frac{square root of 117}{square root of 13}
a A LaTex expression showing \frac{square root of 3}{3}
b A LaTex expression showing 1
c A LaTex expression showing 3