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Simplify. sqrt28

Simplify.\newline28 \sqrt{28}

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Full solution

Q. Simplify.\newline28 \sqrt{28}
  1. Break down into prime factors: Let's break down 2828 into its prime factors.\newline28=2×2×7\sqrt{28} = \sqrt{2 \times 2 \times 7}
  2. Group identical factors: Now, group the identical factors together. 28=22×7\sqrt{28} = \sqrt{2^2 \times 7}
  3. Separate square root: Use the product property of radicals to separate the square root of the square. 28=22×7\sqrt{28} = \sqrt{2^2} \times \sqrt{7}
  4. Simplify square root: Simplify the square root of the square. 28=2×7\sqrt{28} = 2 \times \sqrt{7}

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