Find the cube root of the number 1,03,823
by unit digits method.
47
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31
Here the units digit of 103823 is 3.
if n³= 103823
then the units digit of n must be 7
Let us split 103823 as 103 and 823.
We observe that 4³
=64< 103 < 125= 5³
Hence,
40³=64000<103823<125000=50³
Hence n must lie between 40 and 50. Since the units digit of n is 7, the only such number is 47. You may check that
47³= 103823
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