Find the cube root of 2197 by successive subtraction . Plz help
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Find the cube root of 2197 by successive subtraction . Plz help
Find the cube root of 2197 by successive subtraction . Plz help
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the answer is 13
Step-by-step explanation:
13 × 13 × 13 =169 × 13
=2197
that is [ 13 ] ^ 3 = 2197
Step-by-step explanation:
Method of successive subtraction to find the cube root:
We Subtract the numbers 1, 7 ,19 ,37, 61, 91, 27 169........ Successively till we get zero.
The number of subtractions will give the cube root of the number.
The number 1, 7, 19, 37, 61, 91, 127, 169....... are obtained by putting n= 1,2,3...... in 1+n×(n-1)×3
For e.g:
Find the cube root of 125
125-1=124
124-7=117
1117- 19=98
98- 37=61
61-61=0
The number of subtractions to get zero is 5
³√125= 5