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(sqrt(N+1))(sqrt(N-1))

$(\sqrt{N+1})(\sqrt{N-1})$

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Multiply two binomials: special cases

Full solution

Q.

(\sqrt{N+1})(\sqrt{N-1})

Identify Expression: Identify the expression to simplify. $\newline$ Expression: $(\sqrt{N+1})(\sqrt{N-1})$
Combine Square Roots: Use the property of square roots to combine the terms. $\newline$ $(\sqrt{N+1})(\sqrt{N-1}) = \sqrt{(N+1)(N-1)}$
Expand Expression: Expand the expression inside the square root. $(N+1)(N-1) = N^2 - 1$
Substitute Back: Substitute back into the square root. $\sqrt{N^2 - 1}$

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