What is sqrt(\sqrt{-7-16\sqrt{10)}} ?

The solution to sqrt(\sqrt{-7-16\sqrt{10)}} is \sqrt[4]{-7-16sqrt(10)}

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simplify sqrt(\sqrt{-7-16\sqrt{10)}}

simplify

- 7 - 1610

Solution steps

- 7 - 1610

Apply radical rule:

a = a^{\frac{1}{2}}

= ((- 7 - 1610)^{\frac{1}{2}})^{\frac{1}{2}}

Apply exponent rule:

(a^{b})^{c} = a^{b c}

= (- 7 - 1610)^{\frac{1}{2} \cdot \frac{1}{2}}

\frac{1}{2} \cdot \frac{1}{2} = \frac{1}{4}

= (- 7 - 1610)^{\frac{1}{4}}

(2 x - 1) (2 x + 1)

\frac{12 0 ^{3}}{3 !} e^{- 3}

x^{2} + 5 x x^{2} - 3

1.34 \cdot 1 0^{- 6}

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

What is sqrt(\sqrt{-7-16\sqrt{10)}} ?
The solution to sqrt(\sqrt{-7-16\sqrt{10)}} is \sqrt[4]{-7-16sqrt(10)}