Math, asked by royankitachowdhury24, 6 months ago

prove that √5+3 is irrational no.​

Answers

Answered by slata4004gmailcom
0

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Answered by VelvetCanyon
17

Answer:

Let us assume the given number be rational and we will write the given number in p/q form

5 -  \sqrt{3}  =  \frac{p}{q}

 \sqrt{3}  =  \frac{5q -p }{q}

We observe that LHS is irrational and RHS is rational, which is not possible.

This is contradiction.

Hence our assumption that given number is rational is false

5 -  \sqrt{3} \:  \:  \:  \:   \: is \: irrational.

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