SOLUTION: how shall i find the square root of 289 without using calculator?

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Question 1018059: how shall i find the square root of 289
without using calculator?

Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!
What squares do you know or can you find near 289?



Look at squares between and .
Maybe try



One factorization of 64 is and another is . This last one looks like it can work.


Either x=2 OR x=-32.

The number can be .
Try checking the square of 17...
.

x=-32 may also work.
and you easily find .

.

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