What is \sqrt[8]{(2-sqrt(7))}^4 ?

The solution to \sqrt[8]{(2-sqrt(7))}^4 is isqrt(\sqrt{7)-2}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify \sqrt[8]{(2-sqrt(7))}^4

simplify

i 7 - 2

Solution steps

Apply radical rule:

= (((2 - 7))^{\frac{1}{8}})^{4}

Apply exponent rule:

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

= ((2 - 7))^{\frac{1}{8} \cdot 4}

\frac{1}{8} \cdot 4 = \frac{1}{2}

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

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

= (2 - 7)

Apply imaginary number rule:

- a = i a

= i 7 - 2

(5 x^{3}) (7 x^{2})

6 (1.3)^{- (9)}

e^{- (1) 10}

e^{14}

8500 e^{- \frac{3}{2}}

What is \sqrt[8]{(2-sqrt(7))}^4 ?
The solution to \sqrt[8]{(2-sqrt(7))}^4 is isqrt(\sqrt{7)-2}