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Simplify.

7sqrt20

Simplify.\newline720 7 \sqrt{20}

Full solution

Q. Simplify.\newline720 7 \sqrt{20}
  1. Break Down Prime Factors: First, let's break down 2020 into its prime factors.\newline20=2×2×520 = 2 \times 2 \times 5
  2. Rewrite Using Prime Factors: Now, we can rewrite the square root of 2020 using its prime factors.720=72×2×57\sqrt{20} = 7\sqrt{2 \times 2 \times 5}
  3. Group Identical Factors: Next, we group the identical factors under the square root. 72×2×5=722×57\sqrt{2 \times 2 \times 5} = 7\sqrt{2^2 \times 5}
  4. Square Root of Square Number: We know that the square root of a square number is just the number itself.\newlineSo, 722×5=7×2×57\sqrt{2^2 \times 5} = 7 \times 2 \times \sqrt{5}
  5. Multiply Numbers Outside: Now, we multiply the numbers outside the square root. 7×2×5=1457 \times 2 \times \sqrt{5} = 14\sqrt{5}

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