To estimate the value of \(6 \times 2 - \sqrt{6}\):
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Calculate \(6 \times 2\): \[ 6 \times 2 = 12 \]
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Estimate \(\sqrt{6}\). Knowing that \(\sqrt{4} = 2\) and \(\sqrt{9} = 3\), we can approximate \(\sqrt{6}\) to be around \(2.4\).
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Now, substitute back into the expression: \[ 12 - \sqrt{6} \approx 12 - 2.4 = 9.6 \]
Given the options:
- A 6.4
- B 9.8
- C 7.1
- D 8.4
The best estimate for \(6 \times 2 - \sqrt{6}\) is approximately \(9.6\), which is closest to:
B 9.8.
3 answers