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Expand (sqrt(a) +/- sqrt(b))^2 = a + b +/- 2 sqrt(ab)

This type of question, asked 6 times: 15 Sep 2025 S2, 16 Sep 2025 S2, 18 Sep 2025 S1, 19 Sep 2025 S2, 21 Sep 2025 S1, 21 Sep 2025 S3. All 6 questions below, oldest first.

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  1. Question 1

    15 Sep 2025 S2

    52
    Which of the following equals 10?

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  2. Question 2

    16 Sep 2025 S2

    52
    What is the value of: (18+2)2−(8+2)2(\sqrt{18} + \sqrt{2})^2 - (\sqrt{8} + \sqrt{2})^2

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  3. Question 3

    18 Sep 2025 S1

    51
    What will come in place of ? to satisfy the equation : (3+2)2=?+43(\sqrt{3} + 2)^2 = ? + 4\sqrt{3}

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  4. Question 4

    19 Sep 2025 S2

    69
    Evaluate: (11+7)2−(11−7)2(\sqrt{11} + \sqrt{7})^2 - (\sqrt{11} - \sqrt{7})^2

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  5. Question 5

    21 Sep 2025 S1

    74
    If x=2+1x = \sqrt{2} + 1, find x2−2x^2 - 2.

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  6. Question 6

    21 Sep 2025 S3

    51
    What will come in place of ? to satisfy the equation : (6−1)2=?−26(\sqrt{6}-1)^2 = ?-2\sqrt{6}

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