Math, asked by Mesha6504, 10 months ago

3-√2 is an irrational number. Prove it

Answers

Answered by pparimita68
0

Answer:

It is irrational....It can be explained.....

Step-by-step explanation:

As we know any number added or subtracted from any irrational number it remains irrational only.....So accordingly√2 is also irrational.Hope it helped you .....MARK AS BRAINLIEST DEAR

Answered by HEARTIE
26

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let 3-√2 be a rational number

hence,

3-√2= a/ b , where a and b are integers and b is not equal to 0...

=>3-√2= a/b

=>√2= a/b -3

= >√2= a-3b/b

here a-3b/b are rational number as a and b areintegers but √2 is irrational number .

therefore , the contradiction we suppose is wrong .

hence, 3-√2 is irrational number ...

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