What is the result when you divide 13 by the square root of 13?

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Prepare for the JH Academic Bowl Test with flashcards and multiple choice questions, including hints and explanations. Elevate your confidence ahead of the exam!

Multiple Choice

What is the result when you divide 13 by the square root of 13?

Explanation:
Dividing a number by its square root collapses to the square root because the square of the square root equals the original number. Here, 13 equals (√13)², so 13 / √13 = (√13)² / √13 = √13. You can also see this by rationalizing: multiply top and bottom by √13 to get 13√13 / 13 = √13. So the result is the square root of 13, which is exactly the option that states √13. Other options would correspond to different values (for example, √169 equals 13, and 13/13 equals 1), so they don’t match the quotient here.

Dividing a number by its square root collapses to the square root because the square of the square root equals the original number. Here, 13 equals (√13)², so 13 / √13 = (√13)² / √13 = √13. You can also see this by rationalizing: multiply top and bottom by √13 to get 13√13 / 13 = √13. So the result is the square root of 13, which is exactly the option that states √13. Other options would correspond to different values (for example, √169 equals 13, and 13/13 equals 1), so they don’t match the quotient here.

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