find the cube root of 103823 by estimation please explain step by step please
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Step-by-step explanation:
Here the units digit of 103823 is 3. If n^3 =103823, then the units digit of n must be 7.
Let us split 103823 as 103 and 823. We observe that 4^3
=64<103<125=5^3
Hence
40^3 =64000<103823<125000=50^3
Hence n must lie between 40 and 50. Since the units digit of n is 7, the only such number is 47.
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