If \(\sqrt{10} = 3.162\), then prove that the value of \(\frac{1}{\sqrt{10}}\) is 0.3162.
Answer (2)
10 ≈ 3.162 10 1 = 10 1 ⋅ 10 10 = 10 10 ≈ 10 3.162 = 0.3162
Given 10 ≈ 3.162 , we can find 10 1 by taking the reciprocal of the square root value. By calculating 3.162 1 , we arrive at approximately 0.3162, thus proving the initial statement. Hence, 10 1 ≈ 0.3162 .
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