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

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

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

simplify

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

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

Solution steps

2 - x x^{2} - 2

Apply radical rule:

a b = a \cdot b,

assuming

a \geq 0, b \geq 0

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

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

, \frac{m ^{15}}{m ^{3}}

e^{- 3} \cdot (\frac{3 ^{1}}{1 !})

(x p)^{6}

(3 ab c) (2 a^{2} b)

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