Answer :
Answer:
b: irrational
Step-by-step explanation:
(β5+2)
-------------- is given.
(β5 - 2)
If we multiply numerator and denominator by (β5+2), we succeed in removing the square root symbol from the denominator:
(β5+2)(β5+2)
---------------------
(β5+2)(β5- 2)
and the denominator becomes 5 - 2, or 3. The denominator is now rational, but the numerator still involves the square root symbol, so overall the given number is irrational.