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Evaluate: 26-6root(3)(343)

Evaluate: \newline26−6343326-6\sqrt[3]{343}

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Full solution

Q. Evaluate: \newline26−6343326-6\sqrt[3]{343}
  1. Identify value in square root: Step 11: Identify the value inside the square root.\newlineCalculate 343\sqrt{343}.\newline343343 is 737^3, so 343\sqrt{343} = 73\sqrt{7^3} = 777\sqrt{7}.
  2. Multiply by 66: Step 22: Multiply the result by 66.\newlineCalculate 6×776 \times 7\sqrt{7}.\newline6×77=4276 \times 7\sqrt{7} = 42\sqrt{7}.
  3. Subtract from 2626: Step 33: Subtract the result from 2626.\newlineCalculate 26−42726 - 42\sqrt{7}.\newlineThis step involves subtracting a radical from a whole number, which cannot be simplified further.

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