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

This math topic focuses on simplifying radical expressions, particularly involving the division of expressions with two terms, each containing square roots, to determine the resultant integer. This is part of broader practice on simplifying radicals and teaches handling division of radicals with common factors and grouping the terms effectively to simplify to an integer value. The problems require simplifying complex fractional radicals and selecting the correct integer from multiple choices, reflecting a practical application of radical simplification skills.

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

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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 18 + square root of 18}{square root of 2 + square root of 2}
a
4
b
8
c
2
d
7
e
3
f
1
2
What integer does this radical expression simplify to?
A LaTex expression showing \frac{square root of 3 + square root of 27}{square root of 3 + square root of 3}
a
3
b
2
c
1
d
10
e
7
f
6
3
What integer does this radical expression simplify to?
A LaTex expression showing \frac{square root of 75 + square root of 3}{square root of 3 + square root of 12}
a
3
b
11
c
2
d
10
e
5
f
9
4
What integer does this radical expression simplify to?
A LaTex expression showing \frac{square root of 98 + square root of 50}{square root of 18 + square root of 2}
a
10
b
2
c
11
d
3
e
7
f
5
5
What integer does this radical expression simplify to?
A LaTex expression showing \frac{square root of 18 + square root of 50}{square root of 18 + square root of 2}
a
3
b
2
c
8
d
11
e
9
f
7
6
What integer does this radical expression simplify to?
A LaTex expression showing \frac{square root of 75 + square root of 27}{square root of 27 + square root of 3}
a
1
b
7
c
4
d
3
e
11
f
2
7
What integer does this radical expression simplify to?
A LaTex expression showing \frac{square root of 98 + square root of 18}{square root of 8 + square root of 18}
a
9
b
2
c
6
d
7
e
11
f
5
8
What integer does this radical expression simplify to?
A LaTex expression showing \frac{square root of 50 + square root of 50}{square root of 18 + square root of 8}
a
6
b
2
c
10
d
1
e
7
f
11