What is sqrt(r^2-1)sqrt(r^2+1) ?

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

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simplify sqrt(r^2-1)sqrt(r^2+1)

simplify

r^{2} - 1 r^{2} + 1

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

Solution steps

r^{2} - 1 r^{2} + 1

Apply radical rule:

a b = a \cdot b,

assuming

a \geq 0, b \geq 0

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

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

2 x^{2} (5 x - 1) (x + 5)^{2}

(4 x^{2} y^{3}) (2 x y^{3})

e^{- (- 1 + 0.5)}

8 \cdot (0.77)^{2} (1 - 0.77)^{- 2}

- e^{- 100}

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