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

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

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

simplify

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

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

Solution steps

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

Apply radical rule:

a b = a \cdot b,

assuming

a \geq 0, b \geq 0

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

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

120 \cdot 1 0^{- 3} \cdot 3.3

4.87 \cdot 1 0^{- 3}

(3 x)^{- 2}

e^{- \frac{2}{3} l o g_{e} (x)}

8.79 \cdot 1 0^{- 3}

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