Math, asked by Anonymous, 3 months ago

Given that √5 is irrational prove that 3+2√5 is irrational​

Answers

Answered by Anonymous
13

  • 2√5-3 = p/q

  • 2√5 = p/q +3

  • 2√5 = (p+3q)/q

  • √5 = (p+3q)/2q

We can see that LHS is an irrational number which can never be equal to RHS which is a rational number. Therefore, our assumption that 2√5-3 is a rational number is wrong. 2√5-3 is not a rational number, it is an irrational number.

Hence proved.

Done!!

Answered by captverma
0

Answer:

above one is correct...

Step-by-step explanation:

thanks

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