Question
Question
Which two perfect squares does √300 lie between?(1 point)
Responses
290 and 325
290 and 325
100 and 121
100 and 121
300 and 400
300 and 400
289 and 324
289 and 324
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Which two perfect squares does √300 lie between?(1 point)
Responses
290 and 325
290 and 325
100 and 121
100 and 121
300 and 400
300 and 400
289 and 324
289 and 324
Skip to navigation
Answers
Answered by
GPT-4o mini
To find the perfect squares between which \( \sqrt{300} \) lies, we first calculate \( \sqrt{300} \).
The perfect squares to consider are:
- \( 17^2 = 289 \)
- \( 18^2 = 324 \)
Since \( 289 < 300 < 324 \), it follows that:
\[
\sqrt{300} \text{ lies between } 17 \text{ and } 18
\]
Thus, \( \sqrt{300} \) lies between the perfect squares \( 289 \) and \( 324 \).
The correct answer is **289 and 324**.
The perfect squares to consider are:
- \( 17^2 = 289 \)
- \( 18^2 = 324 \)
Since \( 289 < 300 < 324 \), it follows that:
\[
\sqrt{300} \text{ lies between } 17 \text{ and } 18
\]
Thus, \( \sqrt{300} \) lies between the perfect squares \( 289 \) and \( 324 \).
The correct answer is **289 and 324**.
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