Compare. 7sqrt (12)ldots .8sqrt (10)

To compare the two expressions \(7\sqrt{12}\) and \(8\sqrt{10}\), we can first approximate their decimal values.<br /><br />1. Calculate \(7\sqrt{12}\):<br /> \[<br /> \sqrt{12} \approx 3.464<br /> \]<br /> \[<br /> 7 \times 3.464 \approx 24.248<br /> \]<br /><br />2. Calculate \(8\sqrt{10}\):<br /> \[<br /> \sqrt{10} \approx 3.162<br /> \]<br /> \[<br /> 8 \times 3.162 \approx 25.296<br /> \]<br /><br />Now, we compare the two results:<br />\[<br />24.248 < 25.296<br />\]<br /><br />Therefore,<br />\[<br />7\sqrt{12} < 8\sqrt{10}<br />\]