What is sqrt(\sqrt{(-8-1/10)*(-10))} ?

The solution to sqrt(\sqrt{(-8-1/10)*(-10))} is 3

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simplify sqrt(\sqrt{(-8-1/10)*(-10))}

simplify

(- 8 - \frac{1}{10}) \cdot (- 10)

3

Solution steps

(- 8 - \frac{1}{10}) (- 10)

Apply radical rule:

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

= (((- 8 - \frac{1}{10}) (- 10))^{\frac{1}{2}})^{\frac{1}{2}}

Apply exponent rule:

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

= ((- 8 - \frac{1}{10}) (- 10))^{\frac{1}{2} \cdot \frac{1}{2}}

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

= ((- 8 - \frac{1}{10}) (- 10))^{\frac{1}{4}}

Remove parentheses:

(- a) = - a

Join

- 8 - \frac{1}{10} : - \frac{81}{10}

Apply rule

- (- a) = a

Multiply

\frac{81}{10} \cdot 10 : 81

Factor the number:

81 = 3^{4}

Apply radical rule:

= 3

2 \cdot 3.14 \cdot 50 \cdot 1 0^{- 6}

8.15 \cdot 1 0^{- 3}

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

(6.67 \cdot 1 0^{- 11}) \cdot (1 \cdot 1 0^{30}) \cdot (8 \cdot 1 0^{30})

10 e^{- 10000 (0.005)}

What is sqrt(\sqrt{(-8-1/10)*(-10))} ?
The solution to sqrt(\sqrt{(-8-1/10)*(-10))} is 3