Question

simlify (4+√5)(4-√5) and identify whether the number is rational or irrational​

Answer 1

Answer:

11 - a rational number

Step-by-step explanation:

(4+√5)(4-√5)

Identity used- (a+b)(a-b)=a²-b²

=(4)²-(√5)²

=16-5

=11

It is a rational number

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Answer 2

$(4+\sqrt{5} )(4-\sqrt{5} ) = [4^2-(\sqrt{5})^2] = [16-5] = 11$

It is in the form of $(a+b)(a-b) = a^2-b^2$

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and it is a rational number