3-√2 is an irrational number. Prove it
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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
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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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