Question - Finding Integers for Square Root of 141
Solution:
This problem involves finding the two integers that the square root of 141 lies between. The square root of 141 is an irrational number because 141 is not a perfect square; thus, it cannot be expressed as an exact integer.To solve this question, we need to find the two perfect squares nearest to 141, one that is less than 141 and one that is greater than 141.The perfect square closest to 141 but less than 141 is 121, because $$ \sqrt{121} = 11 $$.The next perfect square greater than 141 is 144, because $$ \sqrt{144} = 12 $$.Therefore, the square root of 141 is greater than 11 but less than 12. Putting this into the inequality given in the image: 11 < $$ \sqrt{141} $$ < 12So the boxes in the inequality would be filled in with 11 and 12, accordingly.
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