What is sqrt((\sqrt{2))^2+(e^t)^2+(-e^{-t})^2} ?

The solution to sqrt((\sqrt{2))^2+(e^t)^2+(-e^{-t})^2} is sqrt(2+e^{2t)+e^{-2t}}

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simplify sqrt((\sqrt{2))^2+(e^t)^2+(-e^{-t})^2}

simplify

(2)^{2} + (e^{t})^{2} + (- e^{- t})^{2}

2 + e^{2 t} + e^{- 2 t}

Solution steps

(2)^{2} + (e^{t})^{2} + (- e^{- t})^{2}

(2)^{2} = 2

(e^{t})^{2} = e^{2 t}

(- e^{- t})^{2} = e^{- 2 t}

= 2 + e^{2 t} + e^{- 2 t}

2225

(- 4) (- 2)

2 (6 + 32)

\frac{90}{51} \cdot \frac{41}{108} \cdot \frac{34}{82}

(2)^{1}

What is sqrt((\sqrt{2))^2+(e^t)^2+(-e^{-t})^2} ?
The solution to sqrt((\sqrt{2))^2+(e^t)^2+(-e^{-t})^2} is sqrt(2+e^{2t)+e^{-2t}}