Solve sqrt -5 -12i

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Type your math problem... sqrt -5 -12i

Question

Simplify the expression

- \frac{5 648}{6} i

Evaluate

- 5 - 12 \times i

Solution

More Steps

Evaluate

- 5 - 12

Evaluate

5 (- 12)^{- 1}

Evaluate

More Steps

Evaluate

(- 12)^{- 1}

Evaluate the power

- 1 2^{- 1}

Rewrite the expression

- \frac{1}{12}

5 - \frac{1}{12}

An odd root of a negative radicand is always a negative

- 5 \frac{1}{12}

To take a root of a fraction,take the root of the numerator and denominator separately

- \frac{5 1}{5 12}

Simplify the radical expression

- \frac{1}{5 12}

Multiply by the Conjugate

\frac{- 5 1 2 ^{4}}{5 12 \times 5 1 2 ^{4}}

Simplify

\frac{- 2 5 648}{5 12 \times 5 1 2 ^{4}}

Multiply the numbers

More Steps

Evaluate

512 \times 5 1 2^{4}

The product of roots with the same index is equal to the root of the product

5 12 \times 1 2^{4}

Calculate the product

5 1 2^{5}

Reduce the index of the radical and exponent with 5

12

\frac{- 2 5 648}{12}

Cancel out the common factor 2

\frac{- 5 648}{6}

Calculate

- \frac{5 648}{6}

- \frac{5 648}{6} i

Show Solution

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