Question

Criven
√2 is irrational prove
that 2√2 is irrrational

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Answer 1

Answer:

LET 2√2 BE A RATIONAL NUMBER IN FORM OF P/Q WHERE Q IS NOT EQUAL TO 0 AND P AND Q ARE CO PRIME.

2√2=P/Q

√2=P/2Q.

BUT IT CONTRADICTS OUR SUPPOSITION AS √2 IS IRRATIONAL

HENCE 2√2 IS ALSO IRRATIONAL.

Answer 2

Answer:

as it given that√2 is irrational

  suppose that    2√2  is rational

 so it can be written in p/q form where q ≠ 0

2√2 = p/q

√2  = p/2q

p/2q is rational

so

√2 ≠ p/2q

so our assumption was wrong that 2√2 in rational

hence proved that 2√2 is irrational

                 

                                                        OR

as   √2  is irrational

2*  √2  

rational  * irrational   =   irrational  

   hence 2√2  is irrational

 mark it brainliest one

for my efforts of writing  2 answers