Question

perform the indicated operation and write the result in standard form. (sqrt{-25}-sqrt{-36}) (sqrt{-25}-sqrt{-36}=square) (simplify your answer. express complex numbers in terms of (i). type an exact answer, using radicals as needed.)

Explanation:

Step1: Rewrite roots using $i$

$\sqrt{-25} = 5i$, $\sqrt{-36} = 6i$

Step2: Substitute and simplify

$5i - 6i$

Step3: Combine like terms

$(5-6)i = -i$

Answer:

$0 - i$ (or $-i$)