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?

1 Answer
Tony B
Feb 9, 2016

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

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