What is sqrt(x^2+1)*sqrt(x^2-1) ?

The solution to sqrt(x^2+1)*sqrt(x^2-1) is sqrt((x^2+1)(x^2-1))

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simplify sqrt(x^2+1)*sqrt(x^2-1)

simplify

x^{2} + 1 \cdot x^{2} - 1

(x^{2} + 1) (x^{2} - 1)

Solution steps

x^{2} + 1 x^{2} - 1

Apply radical rule:

a b = a \cdot b,

assuming

a \geq 0, b \geq 0

x^{2} + 1 x^{2} - 1 = (x^{2} + 1) (x^{2} - 1)

= (x^{2} + 1) (x^{2} - 1)

(\frac{a ^{2} b ^{- 3} c ^{5}}{a c ^{- 2} x})^{3}

1.5 \cdot 1 0^{- 2}

What is sqrt(x^2+1)*sqrt(x^2-1) ?
The solution to sqrt(x^2+1)*sqrt(x^2-1) is sqrt((x^2+1)(x^2-1))