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

This math topic focuses on simplifying expressions involving the division of radicals with a common factor, specifically when simplifying one radical term divided by another into fractional form. The questions provided are part of a larger unit on simplifying radicals, aiming to build fluency in identifying and simplifying ratios of square roots into their simplest numerical or fractional forms. Each problem presents a radical division expression, and students are required to select the correct simplified form from multiple choice answers. This topic enhances understanding of radicals' properties and their manipulation in mathematical expressions.

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 50}{square root of 8}
a A LaTex expression showing 7 over 5
b A LaTex expression showing 3 over 5
c A LaTex expression showing 8 over 3
d A LaTex expression showing 5 over 2
e A LaTex expression showing 9 over 4
2
What does this radical expression simplify to?
A LaTex expression showing \frac{square root of 50}{square root of 18}
a A LaTex expression showing 11 over 8
b A LaTex expression showing 7 over 4
c A LaTex expression showing 5 over 3
d A LaTex expression showing 2
3
What does this radical expression simplify to?
A LaTex expression showing \frac{square root of 8}{square root of 18}
a A LaTex expression showing 2 over 3
b A LaTex expression showing 2 over 5
c A LaTex expression showing 1 over 3
d A LaTex expression showing 1
4
What does this radical expression simplify to?
A LaTex expression showing \frac{square root of 75}{square root of 12}
a A LaTex expression showing 1
b A LaTex expression showing 11 over 3
c A LaTex expression showing 5 over 4
d A LaTex expression showing 5 over 2
e A LaTex expression showing 9 over 7
5
What does this radical expression simplify to?
A LaTex expression showing \frac{square root of 27}{square root of 75}
a A LaTex expression showing 1
b A LaTex expression showing 4 over 11
c A LaTex expression showing 3 over 5
d A LaTex expression showing 2 over 7
e A LaTex expression showing 2 over 5
6
What does this radical expression simplify to?
A LaTex expression showing \frac{square root of 98}{square root of 8}
a A LaTex expression showing 5 over 3
b A LaTex expression showing 7 over 2
c A LaTex expression showing 11 over 5
d A LaTex expression showing 14 over 3
e A LaTex expression showing 8 over 5
7
What does this radical expression simplify to?
A LaTex expression showing \frac{square root of 27}{square root of 12}
a A LaTex expression showing 1
b A LaTex expression showing 2 over 5
c A LaTex expression showing 4 over 5
d A LaTex expression showing 3 over 2
8
What does this radical expression simplify to?
A LaTex expression showing \frac{square root of 50}{square root of 98}
a A LaTex expression showing 2 over 17
b A LaTex expression showing 3 over 14
c A LaTex expression showing 11 over 13
d A LaTex expression showing 5 over 7
e A LaTex expression showing 5 over 12