To prove 3+2root5 is irrational
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Hey user here is your answer......
To prove--->
Is irrational
◆Let it is rational number
◆3+2√5=a/b ( where a & b are co-prime)
◆2√5=a/b-3
◆2√5=a-3b/3
◆√5=a-3b/6
Here √5 & a-3b/6 is rational number but the contradict the fact is √5 is irrational number.
◆So this contradiction arises due to our wrong assumption so 3+2√5 is irrational.
Thanks☺️
To prove--->
Is irrational
◆Let it is rational number
◆3+2√5=a/b ( where a & b are co-prime)
◆2√5=a/b-3
◆2√5=a-3b/3
◆√5=a-3b/6
Here √5 & a-3b/6 is rational number but the contradict the fact is √5 is irrational number.
◆So this contradiction arises due to our wrong assumption so 3+2√5 is irrational.
Thanks☺️
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