Simplify the expression to a+bi form: sqrt81-sqrt(-8)-sqrt100+sqrt(-98) Answer:

Question Prompt: Question prompt: Simplify the expression to a+bi form: sqrt81-sqrt(-8)-sqrt100+sqrt(-98).Given Expression: Given expression: sqrt81-sqrt(-8)-sqrt100+sqrt(-98) Express the expression using i for the square roots of negative numbers. sqrt81-sqrt(-8)-sqrt100+sqrt(-98) = sqrt81 - sqrt8i - sqrt100 + sqrt98iExpress Using i: Simplify the square roots of the positive numbers and express the square roots of the negative numbers in terms of i. sqrt81 - sqrt8i - sqrt100 + sqrt98i = 9 - 2sqrt(2)i - 10 + 7sqrt(2)iSimplify Square Roots: Combine like terms to simplify the expression further. 9 - 2sqrt(2)i - 10 + 7sqrt(2)i = (9 - 10) + (-2sqrt(2)i + 7sqrt(2)i) = -1 + 5sqrt(2)i

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Simplify the expression to
a+bi form:

sqrt81-sqrt(-8)-sqrt100+sqrt(-98)
Answer:

Simplify the expression to $a+b i$ form: $\newline$ $\sqrt{81}-\sqrt{-8}-\sqrt{100}+\sqrt{-98}$ $\newline$ Answer:

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Algebra 2

Simplify the expression using imaginary number i

Full solution

Q. Simplify the expression to

a+b i

form:

\newline

\sqrt{81}-\sqrt{-8}-\sqrt{100}+\sqrt{-98}

\newline

Answer:

Question Prompt: Question prompt: Simplify the expression to $a+bi$ form: $\sqrt{81}-\sqrt{-8}-\sqrt{100}+\sqrt{-98}$ .
Given Expression: Given expression: $\newline$ $\sqrt{81}-\sqrt{-8}-\sqrt{100}+\sqrt{-98}$ $\newline$ Express the expression using $i$ for the square roots of negative numbers. $\newline$ $\sqrt{81} - \sqrt{8}i - \sqrt{100} + \sqrt{98}i$
Express Using i: Simplify the square roots of the positive numbers and express the square roots of the negative numbers in terms of i. $\sqrt{81} - \sqrt{8}i - \sqrt{100} + \sqrt{98}i = 9 - 2\sqrt{2}i - 10 + 7\sqrt{2}i$
Simplify Square Roots: Combine like terms to simplify the expression further. $\newline$ $9 - 2\sqrt{2}i - 10 + 7\sqrt{2}i$ $\newline$ = $(9 - 10) + (-2\sqrt{2}i + 7\sqrt{2}i)$ $\newline$ = $-1 + 5\sqrt{2}i$