Division with Common Factor - 1 Term over 1 Term to Fraction (Level 2)

This math topic focuses on simplifying radical expressions, specifically involving division of radicals which have a common factor. It covers the process of expressing single-term radicals as fractions. The skills practiced include identifying and simplifying square roots, applying division of radicals, and reducing results to simplified fractional forms. The topic is part of a larger unit on simplifying radicals. Each problem presents a different radical expression and multiple choice answers, pushing for understanding and precision in simplifying expressions involving square roots.

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

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Radicals - Division with Common Factor - 1 Term over 1 Term to Fraction Worksheet

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Radicals - Division with Common Factor - 1 Term over 1 Term to Fraction
1
What does this radical expression simplify to?
A LaTex expression showing \frac{square root of 18}{square root of 8}
a A LaTex expression showing 3 over 2
b A LaTex expression showing 1 over 4
c A LaTex expression showing 2 over 7
d A LaTex expression showing 5 over 6
e A LaTex expression showing 1
2
What does this radical expression simplify to?
A LaTex expression showing \frac{square root of 147}{square root of 75}
a A LaTex expression showing 13 over 4
b A LaTex expression showing 14 over 13
c A LaTex expression showing 7 over 5
d A LaTex expression showing 4 over 11
3
What does this radical expression simplify to?
A LaTex expression showing \frac{square root of 8}{square root of 98}
a A LaTex expression showing 2 over 9
b A LaTex expression showing 2 over 17
c A LaTex expression showing 2 over 7
d A LaTex expression showing 1 over 12
e A LaTex expression showing 1 over 3
4
What does this radical expression simplify to?
A LaTex expression showing \frac{square root of 125}{square root of 45}
a A LaTex expression showing 1
b A LaTex expression showing 4 over 3
c A LaTex expression showing 10 over 3
d A LaTex expression showing 6 over 5
e A LaTex expression showing 5 over 3
5
What does this radical expression simplify to?
A LaTex expression showing \frac{square root of 63}{square root of 28}
a A LaTex expression showing 4 over 5
b A LaTex expression showing 3 over 4
c A LaTex expression showing 1
d A LaTex expression showing 3 over 2
6
What does this radical expression simplify to?
A LaTex expression showing \frac{square root of 75}{square root of 147}
a A LaTex expression showing 2 over 7
b A LaTex expression showing 3 over 17
c A LaTex expression showing 1
d A LaTex expression showing 5 over 7
e A LaTex expression showing 3 over 5
7
What does this radical expression simplify to?
A LaTex expression showing \frac{square root of 27}{square root of 147}
a A LaTex expression showing 2
b A LaTex expression showing 2 over 7
c A LaTex expression showing 3 over 7
d A LaTex expression showing 1 over 2
e A LaTex expression showing 2 over 5
8
What does this radical expression simplify to?
A LaTex expression showing \frac{square root of 147}{square root of 12}
a A LaTex expression showing 9 over 7
b A LaTex expression showing 1
c A LaTex expression showing 14 over 3
d A LaTex expression showing 7 over 2