Simplify the expression to a+bi form: -sqrt144+sqrt(-80)+sqrt1+sqrt(-5) Answer:

Given expression: Given expression: -sqrt(144)+sqrt(-80)+sqrt(1)+sqrt(-5) Express the expression using i for the square roots of negative numbers. -sqrt(144)+sqrt(-80)+sqrt(1)+sqrt(-5) = -sqrt(144)+sqrt(80)i+sqrt(1)+sqrt(5)iExpress using i: Simplify the square roots of the positive numbers and express the square roots of negative numbers in terms of i. -sqrt(144)+sqrt(80)i+sqrt(1)+sqrt(5)i = -12+sqrt(16*5)i+1+sqrt(5)i = -12+4sqrt(5)i+1+sqrt(5)iSimplify square roots: Combine like terms. -12+4sqrt(5)i+1+sqrt(5)i = (-12+1)+(4sqrt(5)i+sqrt(5)i) = -11+5sqrt(5)i

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Simplify the expression to
a+bi form:

-sqrt144+sqrt(-80)+sqrt1+sqrt(-5)
Answer:

Simplify the expression to $a+b i$ form: $\newline$ $-\sqrt{144}+\sqrt{-80}+\sqrt{1}+\sqrt{-5}$ $\newline$ 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{144}+\sqrt{-80}+\sqrt{1}+\sqrt{-5}

\newline

Answer:

Given expression: Given expression: $\newline$ $-\sqrt{144}+\sqrt{-80}+\sqrt{1}+\sqrt{-5}$ $\newline$ Express the expression using $i$ for the square roots of negative numbers. $\newline$ $-\sqrt{144}+\sqrt{80}i+\sqrt{1}+\sqrt{5}i$
Express using i: Simplify the square roots of the positive numbers and express the square roots of negative numbers in terms of i. $\newline$ $-\sqrt{144}+\sqrt{80}i+\sqrt{1}+\sqrt{5}i$ $\newline$ $= -12+\sqrt{16\cdot 5}i+1+\sqrt{5}i$ $\newline$ $= -12+4\sqrt{5}i+1+\sqrt{5}i$
Simplify square roots: Combine like terms. $\newline$ $-12+4\sqrt{5}i+1+\sqrt{5}i$ $\newline$ $= (-12+1)+(4\sqrt{5}i+\sqrt{5}i)$ $\newline$ $= -11+5\sqrt{5}i$