What is sqrt((5-9)^3+(3-5)^4) ?

The solution to sqrt((5-9)^3+(3-5)^4) is 4sqrt(3)i

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simplify sqrt((5-9)^3+(3-5)^4)

simplify

(5 - 9)^{3} + (3 - 5)^{4}

43 i

Solution steps

(5 - 9)^{3} + (3 - 5)^{4}

(5 - 9)^{3} + (3 - 5)^{4} = - 48

= - 48

Prime factorization of

48 : 2^{4} \cdot 3

= - 2^{4} \cdot 3

Apply radical rule:

ab = a b, a \geq 0, b \geq 0

- 2^{4} \cdot 3 = 2^{4} - 3

= 2^{4} - 3

2^{4} = 4

= 4 - 3

Apply radical rule:

- a = a - 1

- 3 = 3 - 1

= 43 - 1

Apply imaginary number rule:

- 1 = i

= 43 i

\frac{3}{4} \div \frac{4}{5}

(5 + i) (2 - i)

43 - 3

2 + \frac{1}{x - 1}

\frac{2}{4 + 2}

What is sqrt((5-9)^3+(3-5)^4) ?
The solution to sqrt((5-9)^3+(3-5)^4) is 4sqrt(3)i