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Answer:
[tex]\sqrt{43}[/tex] lies between 6 and 7
Step-by-step explanation:
Consider the perfect squares either side of 43, that is 36 and 49 , then
36 < 43 < 49 , so
[tex]\sqrt{36}[/tex] < [tex]\sqrt{43}[/tex] < [tex]\sqrt{49}[/tex] , that is
6 < [tex]\sqrt{43}[/tex] < 7
The [tex]\sqrt{43}[/tex] lies between 6 and 7