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Estimate √55 to the nearest whole number.
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\[\LARGE f(x+ \Delta x)= f(x)+\Delta x(f'(x))\] Let \(\Large f(x)=\sqrt{x}\) Replace x with 7 and \(\Delta x\) with 6
7.41
u can say it 7 because it is < 7.5
thank you :)
or \[\LARGE 7 \times 7=49\] \[\LARGE 8 \times 8 =64\] \[\LARGE \frac{64+49}{2}=56.5\] so it should be the average between 7 and 8 \[\LARGE \frac{7+8}{2}=7.5\] is the answer
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