the greater between √17-√12 and √21-√16
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Answer:
the greater between √17-√12 and √21-√16
See there is a method ..to find the square root of the numbers which are not perfect squares…first of all you know the perfect squares..1,4,9,16,25,36……,and so on..
Now see √17…
Now,square of 4 is 16..and of 5 is 25 ..it means that the square root of 17 lies in between 4 and 5.. Now again see the mid point between 16 and 25…that is 20.5 .now since 17 is less than 20.5 it means that √17..is less than 4.5…..now you may assume ..let √17 be 4.1…(greater than 4 and less than 4.5)….
See why I chose 4.1 because here after knowing that .√17 is less than 4.5..you can now calculate the squares of the values which u think to be the square root of 17…see if we think √17= 4.2…
now check…4.2×4.2= 17.64(more than 17..so can't be possible)… but you can assume this also…as its near to 17
..so both 4.1 and 4.2 are approximate answers…
Using this method you can guess fastly the square roots of the numbers
And your question would be solved easily….
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