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81 Compare. E ) 11sqrt (15)ldots .15sqrt (8)

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81
Compare.
E )
11sqrt (15)ldots .15sqrt (8)

81 Compare. E ) 11sqrt (15)ldots .15sqrt (8)

Solução

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IvanMestre · Tutor por 5 anos

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To compare the two expressions \(11\sqrt{15}\) and \(15\sqrt{8}\), we can simplify them and then compare their values.<br /><br />First, let's simplify each expression:<br /><br />1. \(11\sqrt{15}\):<br /> \[<br /> 11\sqrt{15} \approx 11 \times 3.872 = 42.632<br /> \]<br /><br />2. \(15\sqrt{8}\):<br /> \[<br /> 15\sqrt{8} \approx 15 \times 2.828 = 42.42<br /> \]<br /><br />Now, we compare the two values:<br />\[<br />42.632 > 42.42<br />\]<br /><br />Therefore, \(11\sqrt{15}\) is greater than \(15\sqrt{8}\).
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