Question

When you square my value and subtract it from 23, the result is the square root of 36. I am an irrational number. What is my number?

Answer 1

The numbers are `sqrt(17)" and "sqrt(29)" 2`. As both 17 and 29 are prime numbers their roots are irrational.

Explanation:

Let the value be `v`

`-> 23-v^2=sqrt(36)`

`-> 23-v^2=+-6`

`v^2=23+-6`

`v=+-sqrt(17) " or "v=+-sqrt(29)`

Both 17 and 29 are prime numbers therefore there roots irrational