What is (sqrt(7+\sqrt{5)})/(sqrt(7-\sqrt{5))} ?

The solution to (sqrt(7+\sqrt{5)})/(sqrt(7-\sqrt{5))} is sqrt((27+7\sqrt{5))/(22)}

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simplify (sqrt(7+\sqrt{5)})/(sqrt(7-\sqrt{5))}

simplify

\frac{7 + 5}{7 - 5}

\frac{27 + 7 5}{22}

Decimal Notation

1.39238 \dots

Solution steps

\frac{7 + 5}{7 - 5}

Apply radical rule:

\frac{a}{b} = \frac{a}{b}

\frac{7 + 5}{7 - 5} = \frac{7 + 5}{7 - 5}

= \frac{7 + 5}{7 - 5}

\frac{7 + 5}{7 - 5} = \frac{27 + 7 5}{22}

= \frac{27 + 7 5}{22}

t^{\frac{2}{3}} x^{\frac{2}{3}} (5 t^{2})

(1.412 \cdot 1 0^{- 26}) \cdot (5.024 \cdot 1 0^{22})

(3 y) (15 y^{5})

y \cdot e^{- \frac{1}{2} x} (y \cdot e^{\frac{1}{2} x})

e^{- 0.721}

What is (sqrt(7+\sqrt{5)})/(sqrt(7-\sqrt{5))} ?
The solution to (sqrt(7+\sqrt{5)})/(sqrt(7-\sqrt{5))} is sqrt((27+7\sqrt{5))/(22)}