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Find the result of the following operation in its simplest form.\newline10⋅3\sqrt{10}\cdot\sqrt{3}

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Full solution

Q. Find the result of the following operation in its simplest form.\newline10⋅3\sqrt{10}\cdot\sqrt{3}
  1. Multiply Square Roots: We need to multiply 10\sqrt{10} by 3\sqrt{3}.\newlineCalculation: 10×3=10×3\sqrt{10} \times \sqrt{3} = \sqrt{10 \times 3}
  2. Calculate Product of Radicals: Now, let's multiply the numbers inside the radical.\newlineCalculation: 10×3=30\sqrt{10 \times 3} = \sqrt{30}

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