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Square root of a +/- 2 sqrt(b): write as sqrt(m) +/- sqrt(n)

This type of question, asked 5 times: 17 Sep 2025 S1, 19 Sep 2025 S1, 21 Sep 2025 S2, 21 Sep 2025 S3, 22 Sep 2025 S3. All 5 questions below, oldest first.

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  1. Question 1

    17 Sep 2025 S1

    51
    Simplify: (12+63)\sqrt{(12 + 6\sqrt{3})}

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  2. Question 2

    19 Sep 2025 S1

    51
    Simplify the expression: (9+45)\sqrt{(9 + 4\sqrt{5})}

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  3. Question 3

    21 Sep 2025 S2

    71
    The value of 11−230−111−230\sqrt{11 - 2\sqrt{30}} - \frac{1}{\sqrt{11-2\sqrt{30}}} is:

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  4. Question 4

    21 Sep 2025 S3

    74
    Simplify: 5+265−26\frac{\sqrt{5+2\sqrt{6}}}{\sqrt{5-2\sqrt{6}}}

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  5. Question 5

    22 Sep 2025 S3

    72
    Simplify: 5+26+5−262\frac{\sqrt{5 + 2\sqrt{6}} + \sqrt{5 - 2\sqrt{6}}}{\sqrt{2}}

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