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

This math topic focuses on the simplification of radical expressions that involve division with a common factor, specifically one term over two terms simplified to an integer. It falls under a broader unit aimed at practicing the simplification of radicals. Each problem presents a radical expression in the form of a fraction and asks which integer the expression simplifies to, offering multiple-choice answers. The expressions involve the square roots of various integers in both the numerator and the denominator, requiring operations such as rationalizing the denominator and reducing the 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 2 Terms to Integer Worksheet

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Radicals - Division with Common Factor - 1 Term over 2 Terms to Integer
1
What integer does this radical expression simplify to?
A LaTex expression showing \frac{square root of 125}{square root of 45 + square root of 20}
a
7
b
4
c
2
d
5
e
1
f
3
2
What integer does this radical expression simplify to?
A LaTex expression showing \frac{square root of 125}{square root of 20 + square root of 45}
a
9
b
1
c
5
d
4
e
6
f
7
3
What integer does this radical expression simplify to?
A LaTex expression showing \frac{square root of 147}{square root of 75 + square root of 12}
a
8
b
3
c
4
d
5
e
2
f
1
4
What integer does this radical expression simplify to?
A LaTex expression showing \frac{square root of 147}{square root of 12 + square root of 75}
a
3
b
5
c
10
d
4
e
1
f
9
5
What integer does this radical expression simplify to?
A LaTex expression showing \frac{square root of 27}{square root of 3 + square root of 12}
a
1
b
6
c
8
d
9
e
3
f
7
6
What integer does this radical expression simplify to?
A LaTex expression showing \frac{square root of 44}{square root of 11 + square root of 11}
a
2
b
9
c
1
d
4
e
8
f
7