How do you simplify 2\sqrt{-49}+3\sqrt{-64}?

Answered question

2022-01-17

How do you simplify 249+364?

Answer & Explanation

RizerMix

RizerMix

Expert2022-01-19Added 656 answers

Step 1
Explanation:
From complex number theory, i=1 and i2=1
Note also that (ai)2=(ai)2=1
and hence
a=±iaaR+249+364=2×(±7i)+3×(±8i)=±14i±24i=±38i or ±10i

Vasquez

Vasquez

Expert2022-01-19Added 669 answers

Step 1
Remember that i2=1 so 1=i
Keeping this in mind, you can simplify the term as follows:
249+364=2×1×49+3×1×64=2×i×7+3×i×8=14i+24i=34i

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