find the square root of 784
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The square root of 784=28
It is beneficial to be able to estimate, or calculate exactly the square root of any number when a calculator is not present.
For this example, we can start an estimation limit high and low as follows:
20×20=400 is too low
30×30=900 is too high, but closer to 784
If we raise the lower limit to 25:
25×25=625 is still too low, but closer.
Now our range is 26→29.
But the squared number ends in 4, and the only number in our range multiplied by itself to result in a 4 would be 8×8.
So the Square root of 784=28
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Answer:
28
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