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

This math topic focuses on simplifying radical expressions, specifically involving the division of two terms containing square roots over another set of two terms with square roots, which are simplified to an integer. It encompasses a range of problems that apply the concept of recognizing and exploiting common factors to simplify complex radical expressions efficiently down to integer solutions. The problems range in complexity and challenge the learner’s ability to manipulate and simplify radicals as part of broader practice on simplification of radicals. The ultimate goal is to identify the integer value that each given radical expression reduces to.

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Radicals - Division with Common Factor - 2 Terms over 2 Terms to Integer Worksheet

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Radicals - Division with Common Factor - 2 Terms over 2 Terms to Integer
1
What integer does this radical expression simplify to?
A LaTex expression showing \frac{square root of 50 + square root of 2}{square root of 8 + square root of 2}
a
6
b
5
c
8
d
4
e
2
f
7
2
What integer does this radical expression simplify to?
A LaTex expression showing \frac{square root of 99 + square root of 11}{square root of 11 + square root of 11}
a
5
b
2
c
9
d
3
e
6
f
4
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 75 + square root of 3}
a
4
b
2
c
1
d
3
e
8
f
7
4
What integer does this radical expression simplify to?
A LaTex expression showing \frac{square root of 7 + square root of 63}{square root of 7 + square root of 7}
a
6
b
9
c
7
d
2
e
4
f
3
5
What integer does this radical expression simplify to?
A LaTex expression showing \frac{square root of 50 + square root of 18}{square root of 2 + square root of 2}
a
4
b
12
c
5
d
11
e
1
f
6
6
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 + square root of 20}
a
2
b
3
c
1
d
8
e
6
f
9
7
What integer does this radical expression simplify to?
A LaTex expression showing \frac{square root of 75 + square root of 75}{square root of 3 + square root of 3}
a
1
b
7
c
5
d
3
e
2
f
6
8
What integer does this radical expression simplify to?
A LaTex expression showing \frac{square root of 125 + square root of 125}{square root of 20 + square root of 45}
a
1
b
4
c
2
d
3
e
7
f
5