Simplify the expression completely. -root(3)(1)+2sqrt(-25)-2root(3)(-1000) Answer:

Simplify 1: Simplify the cube root of 1. The cube root of 1 is 1, because 1 raised to any power is 1. -root(3)(1) = -1Simplify -25: Simplify the square root of -25. The square root of a negative number involves an imaginary number. The square root of -25 is 5i, where i is the imaginary unit. 2sqrt(-25) = 2 * 5i = 10iSimplify -1000: Simplify the cube root of -1000. The cube root of -1000 is -10, because (-10)^3 = -1000. -2root(3)(-1000) = -2 * (-10) = 20Combine simplified terms: Combine all the simplified terms. Now we add all the simplified terms together. -1 + 10i + 20 = 19 + 10i

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Simplify the expression completely.

-root(3)(1)+2sqrt(-25)-2root(3)(-1000)
Answer:

Simplify the expression completely. $\newline$ $-\sqrt[3]{1}+2 \sqrt{-25}-2 \sqrt[3]{-1000}$ $\newline$ Answer:

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Algebra 1

Multiplication with rational exponents

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Q. Simplify the expression completely.

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-\sqrt[3]{1}+2 \sqrt{-25}-2 \sqrt[3]{-1000}

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Answer:

Simplify $1$ : Simplify the cube root of $1$ . $\newline$ The cube root of $1$ is $1$ , because $1$ raised to any power is $1$ . $\newline$ $-\sqrt[3]{1} = -1$
Simplify $-25$ : Simplify the square root of $-25$ . The square root of a negative number involves an imaginary number. The square root of $-25$ is $5i$ , where $i$ is the imaginary unit. $2\sqrt{-25} = 2 \times 5i = 10i$
Simplify $-1000$ : Simplify the cube root of $-1000$ . The cube root of $-1000$ is $-10$ , because $(-10)^3 = -1000$ . $-2\sqrt[3]{-1000} = -2 \times (-10) = 20$
Combine simplified terms: Combine all the simplified terms. $\newline$ Now we add all the simplified terms together. $\newline$ $-1 + 10i + 20$ $\newline$ $= 19 + 10i$