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2 years ago

(4₊√₋81)₋(9₊√₋9) i cant resolve this equation. thanks for help

Mathematics

2 answers:

bezimeni [28]2 years ago

8 0

The question can't be solved because we can't have negative sign under square root

gulaghasi [49]2 years ago

3 0

Answer:

-5 +6i

Step-by-step explanation:

Square roots of negative numbers are imaginary. This is asking for the difference of two complex numbers. A suitable calculator can show you what that is.

<h3>simplify radicals</h3>

We know that √(-1) ≜ i. This means the radicals can be simplified to ...

$\sqrt{-81}=\sqrt{9^2(-1)}=9\sqrt{-1}=9i\\\\\sqrt{-9}=\sqrt{3^2(-1)}=3\sqrt{-1}=3i$

So the expression becomes ...

(4 +9i) -(9 +3i)

<h3>combine terms</h3>

Like terms can be combined in the usual way. For the purpose here, i can be treated as though it were a variable.

(4 +9i) -(9 +3i) = 4 +9i -9 -3i

= (4 -9) +(9 -3)i

= -5 +6i

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Step-by-step explanation:

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