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Simplify.

sqrt2*sqrt6

Simplify.\newline26 \sqrt{2} \cdot \sqrt{6}

Full solution

Q. Simplify.\newline26 \sqrt{2} \cdot \sqrt{6}
  1. Apply product rule of radicals: Step 11: Apply the product rule of radicals.\newlineCalculation: 2×6=2×6\sqrt{2} \times \sqrt{6} = \sqrt{2 \times 6}
  2. Multiply numbers inside radical: Step 22: Multiply the numbers inside the radical.\newlineCalculation: 2×6=12\sqrt{2 \times 6} = \sqrt{12}
  3. Simplify 12\sqrt{12}: Step 33: Simplify 12\sqrt{12}.\newlineCalculation: 12=4×3=2×3\sqrt{12} = \sqrt{4 \times 3} = 2 \times \sqrt{3}