Prove that 3-√15 is irrational?
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Let, 3-√15 be a rational number.
Also, 3 is a rational number.
Now,
Rational - Rational = Rational
=> 3 - (3-√15) = Rational
=> √15 = Rational
But, √15 is irrational. So, contradiction of our supposition. Hence, 3-√15 be an irrational number.
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