Simplify the expression to a+bi form: -sqrt1-sqrt(-48)+sqrt81+sqrt(-3) Answer:

Given expression: Given expression: -sqrt1-sqrt(-48)+sqrt81+sqrt(-3) Express the expression using i for the square roots of negative numbers. -sqrt1-sqrt(-48)+sqrt81+sqrt(-3) = -sqrt1-sqrt48i+sqrt81+sqrt3iExpress using i: Simplify the square roots of positive numbers and express the square roots of negative numbers in terms of i. -sqrt1-sqrt48i+sqrt81+sqrt3i = -1-4sqrt(3)i+9+iSimplify square roots: Combine like terms to simplify the expression further. -1-4sqrt(3)i+9+i = (-1+9) + (-4sqrt(3)i+i) = 8 - 4sqrt(3)i + iCombine like terms: Combine the imaginary terms. 8 - 4sqrt(3)i + i = 8 + (-4sqrt(3) + 1)i

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Simplify the expression to
a+bi form:

-sqrt1-sqrt(-48)+sqrt81+sqrt(-3)
Answer:

Simplify the expression to $a+b i$ form: $\newline$ $-\sqrt{1}-\sqrt{-48}+\sqrt{81}+\sqrt{-3}$ $\newline$ 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{1}-\sqrt{-48}+\sqrt{81}+\sqrt{-3}

\newline

Answer:

Given expression: Given expression: $\newline$ $-\sqrt{1}-\sqrt{-48}+\sqrt{81}+\sqrt{-3}$ $\newline$ Express the expression using $i$ for the square roots of negative numbers. $\newline$ $-\sqrt{1}-\sqrt{48}i+\sqrt{81}+\sqrt{3}i$
Express using $i$ : Simplify the square roots of positive numbers and express the square roots of negative numbers in terms of $i$ .
$-\sqrt{1}-\sqrt{48}i+\sqrt{81}+\sqrt{3}i$
= $-1-4\sqrt{3}i+9+i$
Simplify square roots: Combine like terms to simplify the expression further. $\newline$ $-1-4\sqrt{3}i+9+i$ $\newline$ $= (-1+9) + (-4\sqrt{3}i+i)$ $\newline$ $= 8 - 4\sqrt{3}i + i$
Combine like terms: Combine the imaginary terms. $\newline$ $8 - 4\sqrt{3}i + i$ $\newline$ = $8 + (-4\sqrt{3} + 1)i$