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Radicals

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

This topic focuses on simplifying radical expressions, specifically involving the division of sums of two radical terms over one radical term, resulting in an integer value. It is part of a broader study on simplifying radicals and aims to enhance proficiency in manipulating and simplifying radical expressions with common factors. Each problem presents a radical division to be simplified to an integer, with multiple choice answers provided.

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 1 Term to Integer Worksheet

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