Numbers Between Rational Numbers Quick Check
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Question
What is the least integer whose square root is an irrational number between 5 and 7?(1 point)
1 answer
The square root of 25 is 5, and the square root of 49 is 7. Since we are looking for the least integer whose square root is an irrational number between 5 and 7, we need to find the next integer after 49 whose square root is between 5 and 7. The next integer after 49 is 50, and its square root is approximately 7.07, which is between 5 and 7. Therefore, the least integer whose square root is an irrational number between 5 and 7 is 50.