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Simplify. 2sqrt28

Simplify.\newline228 2 \sqrt{28}

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Full solution

Q. Simplify.\newline228 2 \sqrt{28}
  1. Find Prime Factors: First, let's find the prime factors of 2828.\newline28=2×1428 = 2 \times 14\newline28=2×2×728 = 2 \times 2 \times 7
  2. Rewrite Using Prime Factors: Now, we can rewrite the square root of 2828 using its prime factors. 228=22×2×72\sqrt{28} = 2\sqrt{2 \times 2 \times 7}
  3. Take Square Root of Perfect Square: Next, we can take the square root of the perfect square, which is 222^2. \newline222×7=2×272\sqrt{2^2 \times 7} = 2 \times 2\sqrt{7}
  4. Simplify Expression: Then, we simplify the expression by multiplying the numbers outside the square root. 474\sqrt{7}

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