which numeral will square 98
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First take a guess and call it x1x1.
9898 is very close to 100100 (which is a perfect square), so my first guess is x1=10x1=10.
Now examine how far you are from the desired answer.
x21=(10)2=100x12=(10)2=100. So we are off by 22. Call this difference, dd, so d=2d=2.
Calculate d2x1=220=0.1d2x1=220=0.1
Our first guess overestimated the answer, so now we should subtract d2x1d2x1 from our initial guess (x1x1).
x2=10−0.1=9.9x2=10−0.1=9.9
As you can see x2x2 is already a quite good estimation of 98−−√=9.998=9.9 (98−−√≈9.899498≈9.8994)
If you want to find the answer with more accuracy, repeat the same procedure, only this time, take x2x2 as your first guess. And so on...
☺☺PLZZ MARK ME BRAINLIEST ☺☺
First take a guess and call it x1x1.
9898 is very close to 100100 (which is a perfect square), so my first guess is x1=10x1=10.
Now examine how far you are from the desired answer.
x21=(10)2=100x12=(10)2=100. So we are off by 22. Call this difference, dd, so d=2d=2.
Calculate d2x1=220=0.1d2x1=220=0.1
Our first guess overestimated the answer, so now we should subtract d2x1d2x1 from our initial guess (x1x1).
x2=10−0.1=9.9x2=10−0.1=9.9
As you can see x2x2 is already a quite good estimation of 98−−√=9.998=9.9 (98−−√≈9.899498≈9.8994)
If you want to find the answer with more accuracy, repeat the same procedure, only this time, take x2x2 as your first guess. And so on...
☺☺PLZZ MARK ME BRAINLIEST ☺☺
sangami8:
really helpful
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