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Number systems — MATHS STD 9 — Question

Rajasthan BoardEnglish MediumSTD 9MATHSNumber systems1 Mark
Question
The value of $\sqrt{3-2\sqrt{2}}$ is:
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Answer

  1. $\sqrt{2}-1$
    Solution:
    $\sqrt{3-2\sqrt{2}}=\sqrt{\big(\sqrt{2}\big)^2+(1)^2-2\times\sqrt{2}\times1}$
    $=\sqrt{\big(\sqrt{2}-1\big)^2}$
    $=\sqrt{2}-1$
    Hence, the correct option is (d).

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