Mathematics
28.07.2022 03:23
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lydia and jessie are resizing photos using a photo editing program. each time they

lydia and jessie are resizing photos using a photo editing program. each time they enlarge a photo, its width is doubled, and each time they reduce a photo, it width is reduced to half its previous size. lydia enlarges a photo 3 times and then reduces it 4 times. hess enlarges a photo 2 times. if they start with the same size photo, how much wider is jesss resized photo than lydias?
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xTrippyBeach4201x
xTrippyBeach4201x
5,0(50 marks)

4 \sqrt{2} i

Step-by-step explanation:

We want to find the sum of

\sqrt{ - 2}  +  \sqrt{ - 18}

We can rewrite this as

\sqrt{ 2 \times  - 1}  +  \sqrt{ 18 \times  - 1}

This becomes;

\sqrt{2}  \times  \sqrt{ - 1}  +  \sqrt{18}  \times  \sqrt{ - 1}

Recall that;

i =  \sqrt{ - 1}

This implies that;

\sqrt{2} i + 3 \sqrt{2} i

Combine like terms:

4 \sqrt{2} i

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