Question

prove that 5 root 2 is an irrational​

Answer 1

Step-by-step explanation:

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Answer 2

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To prove:

$5 \sqrt{2} \: is \: a \: rational$

SolutioN:

Then,

$5 \sqrt{2} = \frac{a}{ b} (where \: a \: and \: b \: are \: co - prime \: and \: b ╪\: 0$

$\sqrt{2} = \frac{a}{5b}$

$\frac{a}{5b} \: is \: a \: rational$

But we know √2 is irrational

this contradiction arise due to our wrong supposition that 5√2 is a rational .

Hence,

5√2 is irrational !!!

Hence, done :)

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