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

Related questions
See all questions in Radical Equations
Impact of this question
1440 views around the world
You can reuse this answer
Creative Commons License