Hello Dosto, Mathsmell maths tricks in hindi me aapka swagat hai. Shortcut tricks on cube and cube root mathematics ki most important topics hai competitive exams ke liye. Aaj iss post me mai aapko 4 se lekar 6 digit ke numbers ki cube root shortcut metods se calculate karna shikhaunga.
Dosto agar hum general method me kisi numbers ki cube root calculate karte hai to bahut he jada time lagte hai. Lekin aaj mai aapko simple and easy tricks se cube root nikalne ki trick bataunga.jiske madad se aap 4 se lekar 6 digit ki kisi bhi number ki cube root nikal sakte ho.
Aap ache se jante hai ki math portion competitive exams ke liye most important part hai.Mera kehne ka matlab ye nahi ki others portion important nahi hai but aap maths section se acha score gain kar sakte ho,iske liye apko jada se jada practice karna pedegi.
Cube and cube root ki shortcut tricks janne se pehle hume cube and cube root ki kuch basics ideas ki bare me janna hogi. Agar aap cube and cube roots ki basic concept ki bare me nahi jante hai to niche diye gaye link ko click kare.
Cube and cube root basics jankari hindi me.
Cube kya hai:
Kisi numbers ka cube ka matlab hai, bho diye gaye numbers ko 3 times multiply karna.
For examples, Manligiye hume 3 ka cube nikalna hai.
Iske liye sabse pehle 3 ko 3 times multiply kare.
3 * 3 * 3 = 27
Therefore 3 ka cube = 27.
Kisi numbers ka cube ka matlab hai, bho diye gaye numbers ko 3 times multiply karna.
For examples, Manligiye hume 3 ka cube nikalna hai.
Iske liye sabse pehle 3 ko 3 times multiply kare.
3 * 3 * 3 = 27
Therefore 3 ka cube = 27.
Cube root kya hai:
Cube root, cube ki opposite hote hai.Manligiye agar a ka cube b hai to b ka cube root a hoga.
Jaise uppar diye gaye example me 3 ka cube 27 hai same usse tarah 27 ka cube root 3 hai.
Cube root, cube ki opposite hote hai.Manligiye agar a ka cube b hai to b ka cube root a hoga.
Jaise uppar diye gaye example me 3 ka cube 27 hai same usse tarah 27 ka cube root 3 hai.
Ek baat aur dosto ki sabhi competitive exams me 1 se 25 take cube he exams me puche jate hai.iske liye aapko 1 se 25 ki cube and cube roots yaad kar lena chahiye. lekin kuch student aise hote hai jinke jada janke ke chahat hote hai, unn students ke liye hum batayenge ki shortcut tricks ki help se kaise kisi bhi numbers ki cube root nikalte hai.
Iske liye aapko sabse pehle niche diye gaye cube and cube root ki tables ko yaad karna hoga.
1 ki cube = 1
2 ki cube = 8
3 ki cube = 27
4 ki cube = 64
5 ki cube = 125
6 ki cube = 216
7 ki cube = 343
8 ki cube = 512
9 ki cube = 729
10 ki cube = 1000
2 ki cube = 8
3 ki cube = 27
4 ki cube = 64
5 ki cube = 125
6 ki cube = 216
7 ki cube = 343
8 ki cube = 512
9 ki cube = 729
10 ki cube = 1000
Uppar diye gaye cube and cube roots ki tables ki hisab se
1 ki cube me unit digit = 1
2 ki cube me unit digit = 8
3 ki cube me unit digit = 7
4 ki cube me unit digit = 4
5 ki cube me unit digit = 5
6 ki cube me unit digit = 6
7 ki cube me unit digit = 3
8 ki cube me unit digit = 2
9 ki cube me unit digit = 9
10 ki cube me unit digit = 0
2 ki cube me unit digit = 8
3 ki cube me unit digit = 7
4 ki cube me unit digit = 4
5 ki cube me unit digit = 5
6 ki cube me unit digit = 6
7 ki cube me unit digit = 3
8 ki cube me unit digit = 2
9 ki cube me unit digit = 9
10 ki cube me unit digit = 0
upaar diye gaye tables ko aapko yaad rakhna hai.
Abb dekhte hai cube and cube root ki table se kisi bho sankhaya ki cube root kaise nikalte hai.
Abb dekhte hai cube and cube root ki table se kisi bho sankhaya ki cube root kaise nikalte hai.
Cube root kaise nikale:
Kisi bho numbers ki cube root nikalne ke liye niche diye gaye step ko follow kare,
Kisi bho numbers ki cube root nikalne ke liye niche diye gaye step ko follow kare,
Step:-1.
Sabse pehle diye gaye numbers ki last three digit ko ko remove kare.
Step:-2.
Next, bache huye number ko dekheke ki bho number konsi numbers ke cube ki equal or small hai,uss number ko choose kare.
Step:-3.
Next, diye gaye numbers ki unit digit ko dekhe bho konsi number ki cube ki unit digit hai.uss number ko choose kare.
Step:-4.
Finally step-2 and step-3 me choose kiye gaye digit ko ek sath likhe.
Sabse pehle diye gaye numbers ki last three digit ko ko remove kare.
Step:-2.
Next, bache huye number ko dekheke ki bho number konsi numbers ke cube ki equal or small hai,uss number ko choose kare.
Step:-3.
Next, diye gaye numbers ki unit digit ko dekhe bho konsi number ki cube ki unit digit hai.uss number ko choose kare.
Step:-4.
Finally step-2 and step-3 me choose kiye gaye digit ko ek sath likhe.
EX:-1. Find the cube root of 1728.
Soln. 1728 ki cube root nikalne ke liye niche diye gaye step ko follow kare.
Soln. 1728 ki cube root nikalne ke liye niche diye gaye step ko follow kare.
Step:-1.
Sabse pehle 1728 ki last three digit ko remove kare.
1728 = 1.
Sabse pehle 1728 ki last three digit ko remove kare.
1
Step:-2.
Next, cube tables me dekhe 1 konsi numbers ke cube kI equal or small hai
1^3 = 1.
So, 1 choose kare.
Next, cube tables me dekhe 1 konsi numbers ke cube kI equal or small hai
1^3 = 1.
So, 1 choose kare.
Step:-3.
1728 ki last digit 8 hai aur cube tables me 2 ki cube ke unit digit 8 hai.
2^3 = 8
so, 2 choose kare.
1728 ki last digit 8 hai aur cube tables me 2 ki cube ke unit digit 8 hai.
2^3 = 8
so, 2 choose kare.
Step:-4.
Finally, step-2 and step-3 me choose kiye gaye digit ko ek sath likhe i.e. 12.
Finally, step-2 and step-3 me choose kiye gaye digit ko ek sath likhe i.e. 12.
Therefore, 1728 ki cube root = 12.
Ex:-2. Find the cube root of 6859.
Soln. Step-1. Sabse pehle last three digit remove kare. 6859 = 6.
Step-2. Ab cube tables me dekhe konsi numbers ki cube 6 ki equal or small hai. 1^3 < 6 < 2^3.
1 ki cube 6 se chota hai, so 1 choose kare.
Step-3. Ab 6859 ki unit digit 9 hai aur ye 9, ke cube ki unit digit hai. So 9 choose kare.
Step-4. Choose kiye gaye numbers ko ek sath likhe. i.e. 19.
Soln. Step-1. Sabse pehle last three digit remove kare. 6
Step-2. Ab cube tables me dekhe konsi numbers ki cube 6 ki equal or small hai. 1^3 < 6 < 2^3.
1 ki cube 6 se chota hai, so 1 choose kare.
Step-3. Ab 6859 ki unit digit 9 hai aur ye 9, ke cube ki unit digit hai. So 9 choose kare.
Step-4. Choose kiye gaye numbers ko ek sath likhe. i.e. 19.
Therefore, 6859 ki cube root = 19.
Dosto uppar diye gaye tricks ki help se aap kisi bhi numbers ki cube root asani se nikal sakte hai.
I hope shortcut tricks on cube and cube root in hindi post apko acha laga hoga, agar ha to iss post ko apne dosto ki sathe share kare taki unhe bhi pata chale kisi numbers ki cube and cube root kaise nikalte hai.

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ReplyDeleteThanks Mamun
DeleteThanks for ur comment
ReplyDeleteom namaha shivay..... trick acchi hai.
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