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(sqrt44)

44\sqrt{44}

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Full solution

Q. 44\sqrt{44}
  1. Find Prime Factorization: Simplify the square root of 4444 by finding its prime factorization.44=4×11=22×11\sqrt{44} = \sqrt{4 \times 11} = \sqrt{2^2 \times 11}
  2. Extract Perfect Square: Extract the square root of the perfect square from under the radical. 44=22×11=2×11\sqrt{44} = \sqrt{2^2} \times \sqrt{11} = 2 \times \sqrt{11}
  3. Divide by 22: Divide the simplified square root by 22.\newline(2×11)/2=11(2 \times \sqrt{11}) / 2 = \sqrt{11}

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