Question

find the cube root of 103823 by estimation method please tell step by step ​

Answer 1

Answer:

47

Step-by-step explanation:

$\sqrt[3]{1,03,823} = 47\\\\47*47*47=1,03,823$

Answer 2

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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