Monday, June 19, 2017

Fast cube root shortcut trick of any 4 to 6 digit numbers

Aap jaante honge ki general method se kisi number ka cube root nikalana kitana tough and boring kaam hai.
But mai aapko ek simple and easy trick bataunga . Jiski help se aap 4 se lekar 6 digit k kisi bhi number ka cube root easily calculate kar sakte ho. Iss trick se aapki mehanat and time dono bachega.
To chaliye aaj ka shortcut tricks start karte hai.

Fast cube root shortcut trick of any 4 to 6 digit numbers

Cube root ko shortcut se solve karne se pahale mai aapko batadu ki cube and cube root kya hota hai?

What is cube ?

(Cube kya hai ?)

Cube -: Cube ko hindi me "Ghan"(घन) kahate hai.
 Kisi number ka cube calculate karne ka matalab hai, uss diye gaye number ka 3 times multiply karna hota hai.
" Kisi diye huye number ka 3 times multiply karna, uss diye huye number ka cube kahalata hai. "

For example-:
Suppose hume 2 ka cube calculate karna hai.
Solution -:   2³ = 2×2×2 = 8
Means  2 ka cube = 8
Or                  2³ = 8 

I hope aap cube k baare me jaan gaye honge. Ab mai aapko cube root k baare me batata hu.

What is cube root ?

(Cube root kya hai ?)

Cube root -:   cube root ko hindi me "Ghanmul"(घनमूल) kahte hai.
Cube root , cube ka just opposite hota hai .
Matalab maan lete hai kisi number "x"  ka cube "y" hai . To "y" ka cube root "x" hota hai.
Aor isse iss type se denote karte hai-:
                       x³ = y

and            ³√y  = x

For example-: Humne uppar k example me dekha ki 2 ka cube 8 hota hai. Ab just iska ulta cube root hota hai.
Means , 8 ka cube root 2 hota hai.

I hope  aapko cube and Cube root clear ho gaya hoga .
Ab mai apne shortcut trick par aata hu.
Chaliye to aaj ka trick start karte hai ,  friends aapse ek request hai ki aap ek pen and paper le lo aur mai jaise-jaise batata hu vaise-vaise mere saath kartey jaaye taki aapko acche se  samjh aaye.
abse pahle aap niche diye iss  cube table  ko Learn karle kyuki iss table ka hum cube root nikalne me use karenge.

1-10 cube table
Cube table


Chaliye start karte hai, to kya aap pen and paper lekar ready hai? Agar aapka answer yes hai. To very good but agar aapne nhi liya to jaldi le lo oar mere saath practice karte jaaye.
Ex-1.        ³√4913 =??

Step -1.  sabse pahle diye huye number ka last digit choose kare.
4913 ka last digit = 3

Step-2.  Ab  cube table  me dekhe ki, " Kis number k cube ka last digit 3 hai. "

To aap dekh sakte hai ki
                     = 34 3  ⬅ last digit
Yahi number 7 diye huye number 4913 k cube root ka last digit number hai.
Means,    ³√4913 =     7

Ab hume second last digit number ko find karna hai.

Step-3.    Diye huye number 4913 ka last three digit tak k number ko remove (gaayab) kare.Jaise maine niche kiya hai.

                      913 = 4
Three digit remove karne k baad humare pass hai.

Step-4.   Ab cube table  me dekhe ki , kis number ka cube "4" k equal ya small hai. Aur usse choose kar le.

Aap dekh sakte hai ki ,
                      1³ = 1 
1<4 hai, ( but 2³ = 8>1 hai Isliye  2 nhi choose kar sakte)
Yahi number "1" diye huye number 4913 k cube root ka second last digit number hai.

Matalab  ,   ³√4913 = 17  Ans.


Thanks credit goes to following this blogger 
http://mathstricks12.blogspot.in

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