Question

proove that √2+√5 is irrational​

Answer 1

Correct Question

• prove that √2+5 is irrational no

✪AnSwEr

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

• √2+5 is a no
• where √2 is irrational

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

• √2+5 is irrational

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

Let √2+5 is rational no then there simplest form is a/b where b is not equal to 0

=>√2+5 = a/b

=>√2=a/b - 5

=>√2=(a-5b)/b

=>Here is (a-5b)/b is a rational then √2 also rational

But from given √2 is irrational

Therefore

Our assumption is wrong

Hence √2+5 is irrational no

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