Answer:
b: irrational
Step-by-step explanation:
(√5+2)
-------------- is given.
(√5 - 2)
If we multiply numerator and denominator by (√5+2), we succeed in removing the square root symbol from the denominator:
(√5+2)(√5+2)
---------------------
(√5+2)(√5- 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.
