Question - Inequality Involving Square Root of 10
mathinequality involving square rootinequality with square root of 10negative square root of 10approximate value of square root 10
Solution:
The image shows an inequality involving a square root, specifically the square root of 10. The inequality symbols, "<", suggest that we need to find two numbers where the negative square root of 10 lies in between.The square root of 10 is an irrational number, but we can approximate its value for this purpose. The square root of 10 is approximately equal to 3.16 (rounded to two decimal places). The negative square root of 10 would be approximately -3.16.Based on this, we can deduce that -4 is less than -√10, and -√10 is less than -3, because -4 < -3.16 < -3. So the two blank boxes should contain numbers according to this rule.Therefore, the inequality can be filled as:-4 < -√10 < -3It appears that the intent of the image was to place numbers in the blank boxes to demonstrate understanding of the order of these numbers. The numbers -4 and -3 are likely candidates to solve this particular problem.
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