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Simplify. 9sqrt28

Simplify.\newline928 9 \sqrt{28}

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Full solution

Q. Simplify.\newline928 9 \sqrt{28}
  1. Break down into prime factors: First, let's break down 2828 into its prime factors.\newline28=2×2×728 = 2 \times 2 \times 7
  2. Rewrite with prime factors: Now, we rewrite the expression with the prime factors. 928=92×2×79\sqrt{28} = 9\sqrt{2 \times 2 \times 7}
  3. Group and use property: Group the identical factors and use the property of square roots.\newline922×7=9×22×79\sqrt{2^2 \times 7} = 9 \times \sqrt{2^2} \times \sqrt{7}
  4. Simplify square root: Simplify the square root of the square. 9×2×7=1879 \times 2 \times \sqrt{7} = 18\sqrt{7}

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