Question 896882
Let's work backward, and take the squares.  How many are under 100?
1*1 = 1
2*2 = 4
3*3 = 9
4*4 = 16
5*5=25
6*6=36
7*7=49
8*8=64
9*9=81
10*10=100
So in answer to the first question, the square roots of 100,81,64,49,36,25,16,9,4,and 1 would be in that set.<br>
An irrational number cannot be written as a ratio.  It has endless repeating decimals (such as Pi).
Here's a list of irrational sq rts 1-100:
2&#8730;
3&#8730;
5&#8730;
7&#8730;
11&#8730;
13&#8730;
17&#8730;
19&#8730;
23&#8730;
29&#8730;
31&#8730;
37&#8730;
41&#8730;
47&#8730;
53&#8730;
57&#8730;
59&#8730;
61&#8730;
63&#8730;
67&#8730;
69&#8730;
71&#8730;
73&#8730;