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

This topic focuses on simplifying radical expressions involving division between two radical terms with a common factor to yield an integer result. The problems present expressions such as the square root of a number divided by the square root of another number, which participants are expected to simplify to a single integer. Each question is set up with multiple-choice answers for students to select the correct integer resulting from the simplification of the radical expressions. This is a basic exercise within the larger unit on simplifying radicals.

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 Integer Worksheet

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Radicals - Division with Common Factor - 1 Term over 1 Term to Integer
1
What integer does this radical expression simplify to?
A LaTex expression showing \frac{square root of 44}{square root of 11}
a
11
b
6
c
10
d
5
e
7
f
2
2
What integer does this radical expression simplify to?
A LaTex expression showing \frac{square root of 27}{square root of 3}
a
6
b
2
c
1
d
4
e
3
f
7
3
What integer does this radical expression simplify to?
A LaTex expression showing \frac{square root of 75}{square root of 3}
a
8
b
5
c
3
d
9
e
1
f
12
4
What integer does this radical expression simplify to?
A LaTex expression showing \frac{square root of 18}{square root of 2}
a
7
b
11
c
4
d
6
e
8
f
3
5
What integer does this radical expression simplify to?
A LaTex expression showing \frac{square root of 45}{square root of 5}
a
2
b
8
c
12
d
1
e
6
f
3
6
What integer does this radical expression simplify to?
A LaTex expression showing \frac{square root of 20}{square root of 5}
a
11
b
5
c
7
d
8
e
4
f
2
7
What integer does this radical expression simplify to?
A LaTex expression showing \frac{square root of 8}{square root of 2}
a
8
b
2
c
9
d
5
e
6
f
11
8
What integer does this radical expression simplify to?
A LaTex expression showing \frac{square root of 63}{square root of 7}
a
4
b
2
c
10
d
6
e
3
f
7