Math, asked by Anonymous, 8 months ago

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Answered by supriths4804
1

Answer:

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Answered by Anonymous
1

let us assume that √5+√6 is rational.

is in the form of p÷q

√5+√6=p/q

√6=p/q - √5

√6= p - √5q/q

squaring on both sides

6=(p -√5q)^2/q^2

substitute RHS

Finally we get RHS is irrational.

BUT LHS is rational

rational can't equal to irrational.

This contradicts that √5+√6 is irrational.

So, our assumption is wrong.

So,√5+√6 is an irrational.

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