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Simplify the expression completely.

5sqrt1+root(3)(-1000)+2root(3)(8)
Answer:

Simplify the expression completely.\newline51+10003+283 5 \sqrt{1}+\sqrt[3]{-1000}+2 \sqrt[3]{8} \newlineAnswer:

Full solution

Q. Simplify the expression completely.\newline51+10003+283 5 \sqrt{1}+\sqrt[3]{-1000}+2 \sqrt[3]{8} \newlineAnswer:
  1. Identify and Simplify: Identify and simplify each term in the expression.\newlineThe expression given is 51+10003+2835\sqrt{1} + \sqrt[3]{-1000} + 2\sqrt[3]{8}.\newlineFirst, we simplify the square root of 11, which is 11, because the square root of any number squared is the number itself.
  2. Simplify Cube Root of 1000-1000: Simplify the cube root of 1000-1000. The cube root of 1000-1000 is 10-10, because (10)3=1000(-10)^3 = -1000.
  3. Simplify Cube Root of 88: Simplify the cube root of 88 multiplied by 22. The cube root of 88 is 22, because 23=82^3 = 8. Multiplying this by 22 gives us 2×2=42 \times 2 = 4.
  4. Combine Simplified Terms: Combine all the simplified terms.\newlineNow we combine the simplified terms from the previous steps:\newline5×1+(10)+45 \times 1 + (-10) + 4
  5. Perform Addition and Subtraction: Perform the addition and subtraction.\newline5×15 \times 1 is 55, so we have:\newline5+(10)+45 + (-10) + 4\newlineThis simplifies to:\newline510+45 - 10 + 4\newlineWhich further simplifies to:\newline5+4-5 + 4\newlineWhich equals:\newline1-1

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