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

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

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

simplify

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

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

Solution steps

1 + x^{2} 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)

3 (0.5)^{- 2}

(9 s^{3}) (3 s^{9})

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

4.6 x 1 0^{- 4}

\frac{x ^{2}}{y ^{3}}

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