√5-3-2 is a rational number true or false
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Given : √5 - 3 - 2 is a rational number
To Find : True or False
Solution:
√5 - 3 - 2 is a rational number
Real numbers are categorized in 2 types
Rational numbers can be expressed in p /q form where p and q are integers
and q ≠ 0
Rest all rational numbers are irrational
√5 - 3 - 2
= √5 - 5
√5 is irrational number
Sum of a rational number and irrational number is always an irrational number
Hence √5 - 5 is irrational number
so √5 - 3 - 2 is a rational number is FALSE
if it √(5 - 3 - 2) then = √0 = 0 is a rational number hence True
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