If \(\sqrt 5 \) = 2.24, then find the value of \(\sqrt {\frac{{\sqrt {5 }-1 }}{{\sqrt {5 }+1 }}} \) .
0.62
The correct answer is 0.62.
For example: 0.1^2 = 0.01 0.2^2 = 0.04 0.3^2 = 0.09 0.4^2 = 0.16 0.5^2 = 0.25 0.6^2 = 0.36 0.7^2 = 0.49 0.8^2 = 0.64 0.9^2 = 0.81 1.0^2 = 1.00 In this problem, we needed \sqrt{0.38}. Since 0.38 is slightly larger than 0.36 (which is 0.6^2), the square root will be slightly larger than 0.6. Comparing with options, 0.62 seems plausible, and squaring 0.62 confirms its closeness to 0.38.
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