Question

show the 5√2 is irrational
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Answer 1

Answer:

Hi there!

Let us assume 5√2 to be Rational

Then,

5√2 = a / b [ Where, a & b are co-prime and b ≠ 0 ]

√2 = a / 5b

a / 5b is rational

But, we know √2 is Irrational

This contradiction arise due to our wrong supposition that 5√2 is Rational.

Hence,

5√2 is Irrational ! ! !

[ Thank you! for asking the question. ]

Hope it helps!

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Answer 2

✪AnSwEr

${\tt{\red{\underline{\large{Given}}}}}$

• 5√2 is a real no

${\sf{\green{\underline{\large{To\:prove}}}}}$

• The no is irrational

${\sf{\pink{\underline{\Large{Explanation}}}}}$

☞Let 5√2 is a rational no then it must be exist in a/b form where b not equal to 0

Then,

5√2 = a/b

=>√2=a/5b

Here a/5b is a rational no

So,√2 also be a rational

But we know that √2 is irational

Therefore,our assumption is wrong that 5√2 is rational

Hence,5√2 is irrational no