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Simplify the expression to 
a+bi form:

sqrt64+sqrt(-9)+sqrt49-sqrt(-49)
Answer:

Simplify the expression to a+bi a+b i form:\newline64+9+4949 \sqrt{64}+\sqrt{-9}+\sqrt{49}-\sqrt{-49} \newlineAnswer:

Full solution

Q. Simplify the expression to a+bi a+b i form:\newline64+9+4949 \sqrt{64}+\sqrt{-9}+\sqrt{49}-\sqrt{-49} \newlineAnswer:
  1. Question Prompt: Question prompt: Simplify the expression to a+bia+bi form: 64+9+4949\sqrt{64}+\sqrt{-9}+\sqrt{49}-\sqrt{-49}.
  2. Given Expression: Given expression:\newline64+9+4949\sqrt{64}+\sqrt{-9}+\sqrt{49}-\sqrt{-49}\newlineExpress the expression using ii for the square roots of negative numbers.\newline64+9+4949\sqrt{64}+\sqrt{-9}+\sqrt{49}-\sqrt{-49}\newline= 64+9i+4949i\sqrt{64} + \sqrt{9}i + \sqrt{49} - \sqrt{49}i
  3. Express Using i: Simplify the square roots of the positive numbers and express the square roots of negative numbers in terms of i.64+9i+4949i\sqrt{64} + \sqrt{9i} + \sqrt{49} - \sqrt{49i} = 8+3i+77i8 + 3i + 7 - 7i
  4. Simplify Square Roots: Combine like terms to simplify the expression further.\newline8+3i+77i8 + 3i + 7 - 7i\newline= (8+7)+(3i7i)(8 + 7) + (3i - 7i)\newline= 154i15 - 4i

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