What is (6-sqrt(-36))/(6+sqrt(-36)) ?

The solution to (6-sqrt(-36))/(6+sqrt(-36)) is -i

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simplify (6-sqrt(-36))/(6+sqrt(-36))

simplify

\frac{6 - - 36}{6 + - 36}

- i

Solution steps

\frac{6 - - 36}{6 + - 36}

- 36 = 6 i

= \frac{6 - 6 i}{6 + - 36}

- 36 = 6 i

= \frac{6 - 6 i}{6 + 6 i}

Factor

6 - 6 i : 6 (1 - i)

= \frac{6 ( 1 - i )}{6 + 6 i}

Factor

6 + 6 i : 6 (1 + i)

= \frac{6 ( 1 - i )}{6 ( 1 + i )}

Cancel the common factor:

6

= \frac{1 - i}{1 + i}

Simplify

\frac{1 - i}{1 + i} : - i

= - i

\frac{1}{1 - sin ( x )} - \frac{1}{sin ( x ) + 1}

3 - \frac{6}{5}

i^{400}

i^{415}

What is (6-sqrt(-36))/(6+sqrt(-36)) ?
The solution to (6-sqrt(-36))/(6+sqrt(-36)) is -i