Prove that 5√2
is
irrational number,
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Let us assume 5√2 to be Rational
Then,
5√2 = a / b [ Where, a & b are co-prime and b ≠ 0 ]
√2 = a / 5b
a / 5b is rational
But, we know √2 is Irrational
This contradiction arise due to our wrong supposition that 5√2 is Rational.
Hence,
5√2 is Irrational ! ! !
❤️HOPE IT WILL HELP YOU❤️
Let us assume 5√2 to be Rational
Then,
5√2 = a / b [ Where, a & b are co-prime and b ≠ 0 ]
√2 = a / 5b
a / 5b is rational
But, we know √2 is Irrational
This contradiction arise due to our wrong supposition that 5√2 is Rational.
Hence,
5√2 is Irrational ! ! !
❤️HOPE IT WILL HELP YOU❤️
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