Compare $$ 6.51326 \ldots $$ and $$ \sqrt{39} $$. Show your work.

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$$ 6.51326 \ldots > \sqrt{39} $$ To compare $$ 6.51326 \ldots $$ and $$ \sqrt{39} $$, we will first calculate $$ \sqrt{39} $$ and then compare the two values. 1. **Calculate $$ \sqrt{39} $$**: We know that $$ 6^2 = 36 $$ and $$ 7^2 = 49 $$. Therefore, $$ \sqrt{39} $$ is between 6 and 7. To get a more precise value, we can use a calculator or estimate it further. Let's calculate $$ \sqrt{39} $$ using a calculator: $$ \sqrt{39} \approx 6.244 $$ 2. **Compare $$ 6.51326 \ldots $$ and $$ \sqrt{39} $$**: Now we have: $$ 6.51326 \ldots \quad \text{and} \quad \sqrt{39} \approx 6.244 $$ Since $$ 6.51326 \ldots > 6.244 $$, we can conclude that: $$ 6.51326 \ldots > \sqrt{39} $$ Thus, the final comparison is: $$ 6.51326 \ldots > \sqrt{39} $$

Compare \( 6.51326 \ldots \) and \( \sqrt{39} \). Show your work.

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Compare \( 6.51326 \ldots \) and \( \sqrt{39} \). Show your work.

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