What is sqrt(5-x)*sqrt(x^2-4) ?

The solution to sqrt(5-x)*sqrt(x^2-4) is sqrt((-x+5)(x^2-4))

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simplify sqrt(5-x)*sqrt(x^2-4)

simplify

5 - x \cdot x^{2} - 4

(- x + 5) (x^{2} - 4)

Solution steps

5 - x x^{2} - 4

Apply radical rule:

a b = a \cdot b,

assuming

a \geq 0, b \geq 0

- x + 5 x^{2} - 4 = (- x + 5) (x^{2} - 4)

= (- x + 5) (x^{2} - 4)

(e^{4})^{- 3}

2 x x

\frac{e ^{x} + e ^{- x}}{2} \cdot e^{- x}

(4 - x)^{- 2}

e^{(- 3 l n (1 + x))}

What is sqrt(5-x)*sqrt(x^2-4) ?
The solution to sqrt(5-x)*sqrt(x^2-4) is sqrt((-x+5)(x^2-4))