Question
What is the least integer whose square root is an irrational number 5 and 7? A.25 b. 26 c. 6 d.13
Answers
GPT 3.5
The square root of an integer is a rational number only if the integer is a perfect square.
Since the square root of 5 is irrational, 5 is not a perfect square. Therefore, the least integer whose square root is irrational 5 is one greater than 5, which is 6.
Similarly, since the square root of 7 is irrational, 7 is not a perfect square. Therefore, the least integer whose square root is irrational 7 is one greater than 7, which is 8.
Comparing the two possibilities, the smaller integer is 6.
So, the answer is C. 6.
Since the square root of 5 is irrational, 5 is not a perfect square. Therefore, the least integer whose square root is irrational 5 is one greater than 5, which is 6.
Similarly, since the square root of 7 is irrational, 7 is not a perfect square. Therefore, the least integer whose square root is irrational 7 is one greater than 7, which is 8.
Comparing the two possibilities, the smaller integer is 6.
So, the answer is C. 6.