Simplify the expression completely. -sqrt(-100)-2sqrt4+root(3)(216) Answer:

Simplify -100: Simplify the square root of -100. The square root of a negative number involves an imaginary number. The square root of -100 is the square root of 100 times the square root of -1, which is 10i, where i is the imaginary unit. Calculation: sqrt(-100) = sqrt(100) * sqrt(-1) = 10 * i = 10iSimplify 4: Simplify the square root of 4. The square root of 4 is 2 because 2 squared is 4. Calculation: sqrt(4) = 2Cube root of 216: Simplify the cube root of 216. The cube root of 216 is 6 because 6 cubed is 216. Calculation: root(3)(216) = 6Combine simplified parts: Combine all the simplified parts together. We have the expression -sqrt(-100) - 2sqrt(4) + root(3)(216), which simplifies to -10i - 2*2 + 6. Calculation: -10i - 4 + 6Perform arithmetic operations: Perform the arithmetic operations. Subtract 4 from 6 to get 2, and keep the -10i separate as it involves an imaginary number. Calculation: -10i + (6 - 4) = -10i + 2

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Simplify the expression completely.

-sqrt(-100)-2sqrt4+root(3)(216)
Answer:

Simplify the expression completely. $\newline$ $-\sqrt{-100}-2 \sqrt{4}+\sqrt[3]{216}$ $\newline$ Answer:

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Algebra 1

Multiplication with rational exponents

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Q. Simplify the expression completely.

\newline

-\sqrt{-100}-2 \sqrt{4}+\sqrt[3]{216}

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Answer:

Simplify $-100$ : Simplify the square root of $-100$ . The square root of a negative number involves an imaginary number. The square root of $-100$ is the square root of $100$ times the square root of $-1$ , which is $10i$ , where $i$ is the imaginary unit. Calculation: $\sqrt{-100} = \sqrt{100} \times \sqrt{-1} = 10 \times i = 10i$
Simplify $4$ : Simplify the square root of $4$ . The square root of $4$ is $2$ because $2$ squared is $4$ . Calculation: $\sqrt{4} = 2$
Cube root of $216$ : Simplify the cube root of $216$ . $\newline$ The cube root of $216$ is $6$ because $6$ cubed is $216$ . $\newline$ Calculation: $\sqrt[3]{216} = 6$
Combine simplified parts: Combine all the simplified parts together. $\newline$ We have the expression $-\sqrt{-100} - 2\sqrt{4} + \sqrt[3]{216}$ , which simplifies to $-10i - 2\times 2 + 6$ . $\newline$ Calculation: $-10i - 4 + 6$
Perform arithmetic operations: Perform the arithmetic operations. $\newline$ Subtract $4$ from $6$ to get $2$ , and keep the $-10i$ separate as it involves an imaginary number. $\newline$ Calculation: $-10i + (6 - 4) = -10i + 2$