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Alejandro was picked by his teacher to find the integer that has the square root closest to 7without going over He wrote 52 on the boardWas he correct ? Explain your reasoning.

Alejandro was picked by his teacher to find the integer that has the square root closest to 7without going over He wrote 52 on the boardWas he correct Explain y class=

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Solution

Yes, he is correct.

Here is the explanation

Since,

[tex]\begin{gathered} \sqrt{49}=7 \\ \sqrt{64}=8 \\ \\ \text{ since }49<57<64\Rightarrow\sqrt{49}<\sqrt{52}<\sqrt{64} \end{gathered}[/tex]

Hence,

[tex]7<\sqrt{52}[/tex]

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