What is sqrt(2\sqrt{i-\sqrt{i+\sqrt[5]{i)}}} ?

The solution to sqrt(2\sqrt{i-\sqrt{i+\sqrt[5]{i)}}} is sqrt(2)\sqrt[4]{i-sqrt(i+\sqrt[5]{i)}}

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simplify sqrt(2\sqrt{i-\sqrt{i+\sqrt[5]{i)}}}

simplify

Solution steps

Apply radical rule:

assuming

a \geq 0, b \geq 0

\frac{18 x ^{3} y ^{5}}{2 y} \cdot \frac{x y ^{2}}{3 x ^{3} y ^{7}}

\frac{5}{6} \cdot \frac{3}{5}

\frac{112}{3}

\frac{x - 7}{- 5 x + 40} \cdot \frac{x ^{2} - 64}{- 4 x + 28}

(9 x^{2} + 8 x) - (2 x^{2} + 3 x)

What is sqrt(2\sqrt{i-\sqrt{i+\sqrt[5]{i)}}} ?
The solution to sqrt(2\sqrt{i-\sqrt{i+\sqrt[5]{i)}}} is sqrt(2)\sqrt[4]{i-sqrt(i+\sqrt[5]{i)}}