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Find two consecutive whole numbers that sqrt43 lies between.
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run thru your perfect squares ....
what
0^2 1^2 2^2 3^2 and so on; you should then be able to see where 43 falls then
\[\begin{matrix} 6 & \sqrt{36} \\? & \sqrt{43} \\7 & \sqrt{49} \end{matrix}\]
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