Question

If a and b are natural numbers ,then (√a+√b)(√a-√b) is rational. Is it true​?

Answer 1

Hey ✌

Here is your answer

Yes it is true becuase...

$( \sqrt{a} + \sqrt{b} )( \sqrt{a } - \sqrt{b} ) = { \sqrt{a} }^{2} - { \sqrt{b} }^{2}$

$= a - b$

a - b is a rational number.

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