What is (sqrt(2+\sqrt{5)})/(sqrt(7-\sqrt{5))} ?

The solution to (sqrt(2+\sqrt{5)})/(sqrt(7-\sqrt{5))} is sqrt((19+9\sqrt{5))/(44)}

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simplify (sqrt(2+\sqrt{5)})/(sqrt(7-\sqrt{5))}

simplify

\frac{2 + 5}{7 - 5}

\frac{19 + 9 5}{44}

Decimal Notation

0.94297 \dots

Solution steps

\frac{2 + 5}{7 - 5}

Apply radical rule:

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

\frac{2 + 5}{7 - 5} = \frac{2 + 5}{7 - 5}

= \frac{2 + 5}{7 - 5}

\frac{2 + 5}{7 - 5} = \frac{19 + 9 5}{44}

= \frac{19 + 9 5}{44}

3 7^{1}

8 x^{5} (y + x)^{5}

What is (sqrt(2+\sqrt{5)})/(sqrt(7-\sqrt{5))} ?
The solution to (sqrt(2+\sqrt{5)})/(sqrt(7-\sqrt{5))} is sqrt((19+9\sqrt{5))/(44)}