Question

*Q2. एक घन संख्या का घनमूल निकालने के लिए दाईं
ओर के अंक से शुरु करते हुये कितने अंकों का समूह
बनाना चाहिए?To find the cube root of a
cube number, how many digits should
be grouped starting from the right side
digit?
1
2​

Answer 1

Question :- To find the cube root of a cube number, how many digits should be grouped starting from the right side

digit ?

Answer :- Pair of 3 Digits.

Example :-

we will find cube root of 13824 by long division method .

Step 1) :- 13824 = Make pairs of 3 from right . (13) - (824) . { 2 digits left after 1 pair to the left, we can keep them same or we can use 013. }

Step 2) :- Now , we have to check upto cube of which number we can go upto first pair from left.

So, upto 13 we can go to cube to 2 which is 8. { cube of 3 is 27, which will be greater than 13 .}

2) 13 - 824 (2

-8

5

Step 3) :- Now, we will take down next pair with remainder. after that, we have to find the multiplication factor for further process that comes by multiplying the first obtained digit by 30.

So,

→ MF = 2 * 30 = 60

Now, we have to find second digit . Assume second digit will be y .

Than,

→ 5824 ≥ (xy *multiplication factor + y^2) * y .

Let us take y = 4,

Than, xy = 24 . { here xy is a two digit number , which we gets by putting value of y with first quotient .}

So,

→ (24 * 60 + 4²)4

→ (1440 + 16)4

→ 1456 * 4

→ 5824 .

Therefore,

(24 * 60 + 4²)4 ) 5824 ( 24

-5824

0.

Hence, Cube root of 13824 = 24. .

Learn More :-

लंबी विभाजन प्रक्रिया द्वारा 121 का वर्गमूल ज्ञात करें

https://brainly.in/question/23022859

विभाजन विधि से 3249 का वर्गमूल ज्ञात कीजिए

https://brainly.in/question/24536255