Question - Finding Numbers Related to Square Root of 2
Solution:
The image displays two empty boxes separated by inequality signs with the square root of 2 in the middle, like so:\[ \Box < \sqrt{2} < \Box \]We are likely being asked to find two numbers that satisfy these inequalities, where one number is less than the square root of 2 and the other is greater.The square root of 2 is an irrational number which is approximately 1.414. So we need to find a number that is less than 1.414 and another that is greater.A simple solution is to use 1 for the first box and 2 for the second box, as 1 is less than the square root of 2 and 2 is greater than square root of 2. The resulting completed inequality would look like this:\[ 1 < \sqrt{2} < 2 \]This is a valid solution since 1 and 2 are integers that satisfy the inequalities on either side of the square root of 2.
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