If a and b are natural numbers , then (√a+√b)(√a-√b) is a rational . is it true? why?
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Answered by
20
yes because (√a+√b)(√a-√b) = (√a)²-(√b)² = a-b which is going to be a rational number because difference of two rational numbers is rational
hope this helps
hope this helps
Answered by
4
Answer:
True
Step-by-step explanation:
As we
a^2 - b^2 = ( a+b ) ( a-b )
Similarly it will be
√a^2 - √b^2 = (√a+√b) (√a+√b)
i.e. a-b
Therefore , it is a rational number
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