Math, asked by ajitesh1234, 11 months ago

prove that √2 -√5 is irrational

Answers

Answered by ramashishgupta8161

here is your answer

please mark it as brainliest

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harshgori07: my sol. is correct

ajitesh1234: i didn't asked that question

harshgori07: it is done by the method of book rs Agarwal

ajitesh1234: ya your sol.. is correct . but not for my question

harshgori07: it is correct bhai

harshgori07: for your question

ajitesh1234: √2 -√5 i asked this

ajitesh1234: he answered me 5+√2

ajitesh1234: this

ajitesh1234: as u know that √2 -√5 is already an irrational
as √2 and √5 are redials and irrationals subtract each other we get irrational..... so it is all ready an irrational .....

Answered by harshgori07

HEYA MATE

We had given to prove √2-√5 as an irrational no.

we know that √2 is irrational no.

and √5 is also an irrational no.

let us assume that √2-√5 is a rational no.

....

but we know that if we subtract an irrational no. from an irrational no. the resultant will also be irrational but it contradict our assumption that √2-√5 is a rational no.

hence our assumption is wrong and

√2-√5 is an irrational no.

.......

hence proved .

HOPE IT HELPS..

:-)

ajitesh1234: this is correct

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