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Simplify the expression to a+bi form: sqrt100-sqrt(-36)-sqrt81-sqrt(-36) Answer:

Simplify the expression to a+bi a+b i form:\newline100−−36−81−−36 \sqrt{100}-\sqrt{-36}-\sqrt{81}-\sqrt{-36} \newlineAnswer:

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Full solution

Q. Simplify the expression to a+bi a+b i form:\newline100−−36−81−−36 \sqrt{100}-\sqrt{-36}-\sqrt{81}-\sqrt{-36} \newlineAnswer:
  1. Given expression: Given expression:\newline100−−36−81−−36\sqrt{100}-\sqrt{-36}-\sqrt{81}-\sqrt{-36}\newlineExpress the expression using ii for the square roots of negative numbers.\newline100−36i−81−36i\sqrt{100}-\sqrt{36}i-\sqrt{81}-\sqrt{36}i
  2. Express using i: Simplify the square roots of positive numbers and express the square roots of negative numbers using ii.100−36i−81−36i=10−6i−9−6i\sqrt{100}-\sqrt{36}i-\sqrt{81}-\sqrt{36}i = 10-6i-9-6i
  3. Simplify and express: Combine like terms.\newline10−6i−9−6i10-6i-9-6i\newline= (10−9)+(−6i−6i)(10-9) + (-6i-6i)\newline= 1−12i1 - 12i

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