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

This math topic focuses on simplifying radical expressions, specifically teaching how to divide a radical term by a sum of two radical terms and simplifying it to an integer. The problems involve identifying common factors within radicals and using properties of radicals to simplify complex radical expressions to straightforward integers. This type of exercise strengthens understanding of radical simplification and manipulation, integral skills in higher-level algebra. Each problem poses a division of radicals, asking for the resulting integer value.

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 75}{square root of 12 + square root of 27}
a
9
b
2
c
6
d
8
e
1
f
3
2
What integer does this radical expression simplify to?
A LaTex expression showing \frac{square root of 75}{square root of 27 + square root of 12}
a
6
b
3
c
10
d
9
e
1
f
2
3
What integer does this radical expression simplify to?
A LaTex expression showing \frac{square root of 50}{square root of 18 + square root of 8}
a
1
b
3
c
2
d
10
e
9
f
5
4
What integer does this radical expression simplify to?
A LaTex expression showing \frac{square root of 98}{square root of 8 + square root of 50}
a
4
b
8
c
1
d
6
e
3
f
5
5
What integer does this radical expression simplify to?
A LaTex expression showing \frac{square root of 28}{square root of 7 + square root of 7}
a
1
b
5
c
4
d
8
e
9
f
3
6
What integer does this radical expression simplify to?
A LaTex expression showing \frac{square root of 98}{square root of 50 + square root of 8}
a
1
b
8
c
4
d
6
e
3
f
9
7
What integer does this radical expression simplify to?
A LaTex expression showing \frac{square root of 27}{square root of 12 + square root of 3}
a
1
b
6
c
2
d
10
e
5
f
4
8
What integer does this radical expression simplify to?
A LaTex expression showing \frac{square root of 12}{square root of 3 + square root of 3}
a
10
b
3
c
4
d
9
e
1
f
6