If you take the square root of every whole number, from 1-100. How many of them will be irrational numbers?

Question

I'm looking to find the answer to the question:  If You take the square root of every whole number from 1-100,  How many of them will be irrational numbers?

Answer 1

1,4,9,16,25,36,49,64,81,100 are all the perfect squares from 1 to 100

the square roots of these numbers will be rational numbers

the square roots of all the other numbers from 1 to 100 will be irrational numbers

there are 100 numbers and the square roots of 10 numbers will be rational so the square roots of the other 90 numbers will be irrational

Answer 2

There are 10 numbers from 1 to 100 which are fool squares of digits from 1 to 9 and 10:

 

1,4,9,16,25,36,49,64,81,100

 

Thus, there are 90 numbers which are irrational numbers as square roots.