Simplify the expression completely. -root(3)(-216)+4root(3)(1)+2root(3)(1000)-3root(3)(1000) Answer:

Simplify cube root of -216: We will start by simplifying each term separately. The first term is the cube root of -216, which is -6 because (-6)^3 = -216.Simplify cube root of 1: The second term is 4 times the cube root of 1, which is simply 4 because the cube root of 1 is 1.Simplify cube root of 1000: The third term is 2 times the cube root of 1000. The cube root of 1000 is 10 because 10^3 = 1000. So, 2 times 10 gives us 20.Simplify cube root of -1000: The fourth term is -3 times the cube root of 1000, which we already found to be 10. So, -3 times 10 gives us -30.Combine simplified terms: Now, we combine all the simplified terms: -6 + 4 + 20 - 30.Add and subtract numbers: Adding and subtracting the numbers, we get -6 + 4 = -2, and 20 - 30 = -10.Final result: Finally, adding -2 and -10, we get -12.

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Simplify the expression completely.

-root(3)(-216)+4root(3)(1)+2root(3)(1000)-3root(3)(1000)
Answer:

Simplify the expression completely. $\newline$ $-\sqrt[3]{-216}+4 \sqrt[3]{1}+2 \sqrt[3]{1000}-3 \sqrt[3]{1000}$ $\newline$ Answer:

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Algebra 2

Roots of rational numbers

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Q. Simplify the expression completely.

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-\sqrt[3]{-216}+4 \sqrt[3]{1}+2 \sqrt[3]{1000}-3 \sqrt[3]{1000}

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Answer:

Simplify cube root of $-216$ : We will start by simplifying each term separately. The first term is the cube root of $-216$ , which is $-6$ because $(-6)^3 = -216$ .
Simplify cube root of $1$ : The second term is $4$ times the cube root of $1$ , which is simply $4$ because the cube root of $1$ is $1$ .
Simplify cube root of $1000$ : The third term is $2$ times the cube root of $1000$ . The cube root of $1000$ is $10$ because $10^3 = 1000$ . So, $2$ times $10$ gives us $20$ .
Simplify cube root of $-1000$ : The fourth term is $-3$ times the cube root of $1000$ , which we already found to be $10$ . So, $-3$ times $10$ gives us $-30$ .
Combine simplified terms: Now, we combine all the simplified terms: $-6 + 4 + 20 - 30$ .
Add and subtract numbers: Adding and subtracting the numbers, we get $-6 + 4 = -2$ , and $20 - 30 = -10$ .
Final result: Finally, adding $-2$ and $-10$ , we get $-12$ .