Math, asked by samaptimohanty1, 7 months ago

Find the cube root of 2197 by successive subtraction​

Answers

Answered by Anonymous
22

Answer:

\huge\purple {\mathfrak{Bonjour  Mate!}}

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

_____________________________Hope this will help you...

Answered by amritamondal2008
1

Answer:

3[math]^3=...7[/math]

..=…4

..=…5

..=…6

..=.. .3

..=..2

..=. ..9

So here only cube of some no. That ends with 3 gives the required no.

Step-by-step explanation:

hope it helps u...

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