Math, asked by coolkarni07, 11 months ago

Prove that 5 +√ 3 is an irrational number.​

Answers

Answered by sociocafez2018
3

Answer:

let \: us \: assume \: that \: 5 +  \sqrt{3 \: }  \: is \: a \:  \: rational \: number \:  \\  \\ it \: can \: be \: written \: in \:  \frac{a}{b} form \\

5 +  \sqrt{3}  \:  =  \:  \frac{a}{b}

 \sqrt{3}  =  \frac{a}{b}  - 5

 \sqrt{3}  =  \frac{a \:  - 5b}{b}

Here, b,a and 5 are rational number.

And As We Know That √3 Is An Irrational Number.

So Our Assumption Is Wrong.

Thus,

5 +  \sqrt{3}  \:  \: is \: an \: irrational \: number

i \: hope \: it \: helps \\ plz \: mark \: me \: as \: brainliest

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