Question

prove that 3-2√5 divided by 5 is irrational​

Answer 1

3-2√5 is an irrational no.

And If an IR no. is divided by Q Then the answer is always an IR no.

Q= Rational no. ( If ya don't know )

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Suppose 3-2√5/5 is Q

= 3-2√5/5 = p/q ,p and q are co primes , q not equal to zero .

= 3-2√5=5p/q

= -2√5= 5p/q -3

= -√5 = 5p/q-3 ×2

LHS = IR ; RHS = Q

Hence , LHS not Equal to RHS

Therefore ! 3-2√5/5 is an IR no.

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Thank you !!

Hope it helps ya ! : )