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(sqrt(a) - sqrt(b)) x 1/k for perfect squares a, b

The same question, asked 2 times: 18 Sep 2025 S1*, 18 Sep 2025 S3. Every wording below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    18 Sep 2025 S1

    52
    Solve: (7225−1225)×(15)\left(\sqrt{7225} - \sqrt{1225}\right) \times \left(\frac{1}{5}\right)

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  2. Question 2

    18 Sep 2025 S3

    51
    Solve: (6400−2401)×(14)\left(\sqrt{6400} - \sqrt{2401}\right) \times \left(\frac{1}{4}\right)

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  3. Question 3

    18 Sep 2025 S3

    52
    Solve: (5776−4761)×(12)\left(\sqrt{5776} - \sqrt{4761}\right) \times \left(\frac{1}{2}\right)

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