show 2/root 5 as irrational
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Let us assume 2/root5 be rational
That means
2/root 5=a/b
Where a and by are Co primes and built not equal to 0
By cross multiplication we get
Root5*a = 2b
Root5=2b/a
We know that 2b/a is rational
Therefore root 5 is also rational
But this contradict the fact that root 5 is irrational
This contradiction arised due to our wrong assumption that 2/root 5 is rational
Therefore we come on the fact that 2/root5 is irrational.
Sorry for any mistake, if there is.
That means
2/root 5=a/b
Where a and by are Co primes and built not equal to 0
By cross multiplication we get
Root5*a = 2b
Root5=2b/a
We know that 2b/a is rational
Therefore root 5 is also rational
But this contradict the fact that root 5 is irrational
This contradiction arised due to our wrong assumption that 2/root 5 is rational
Therefore we come on the fact that 2/root5 is irrational.
Sorry for any mistake, if there is.
mahaktaose:
plss try to solve these too - show 4/ root 3 as irrational
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