Hello friends , Aaj mai aapko prime factorization method ki help se square root calculate karna bataunga. Apne last post square root me maine aapko bataya tha ki ,
Square root calculate karne k two methods hai -:
(1). Prime factorization method
(2). Long division method
Also read -:
• Top 10 math tricks post november 2016
• Subtraction trick without using borrowing for 2-digit number
• Triangle and its types and defination in hindi
Aaj hum first type method k baare me detail me jaanege.
Square root calculate karne k two methods hai -:
(1). Prime factorization method
(2). Long division method
Also read -:
• Top 10 math tricks post november 2016
• Subtraction trick without using borrowing for 2-digit number
• Triangle and its types and defination in hindi
Aaj hum first type method k baare me detail me jaanege.
Prime factorization method se square root kaise calculate karte hai ?
Prime factorization word 2 word se milkar bana hai-:
Prime number + factor
Prime number k baare me maine details me bataye hai. Aap chhahe to isse read kar sakte hai.
What are prime numbers and composite numbers ?
Prime factorization method ko hindi me abhajy gunankhand vidhi (अभाज्य गुणनखंड विधि ) kahate hai.
Also read -:
• Cube root just in seconds in Hindi
• Top-10 math tricks post January 2017
• Kya aapko koi help mathematics me chahiye?
Also read -:
• Iss fast trick se kariye simple equation instantly solve
• Fast calculate square of numbers ending with 5
• square root in few seconds
Prime number + factor
Prime number k baare me maine details me bataye hai. Aap chhahe to isse read kar sakte hai.
What are prime numbers and composite numbers ?
Prime factorization method ko hindi me abhajy gunankhand vidhi (अभाज्य गुणनखंड विधि ) kahate hai.
Also read -:
• Cube root just in seconds in Hindi
• Top-10 math tricks post January 2017
• Kya aapko koi help mathematics me chahiye?
Working rule -:
1) Sabse pahale jis no. ka square root nikalana hai ,uss no. ko lijiye.
2) Iss no. ko sabse smallest prime number se divide karna start kijiye aur tab tak divide karte jaaye,jab tak 1 na aajaye.
3) Ab jitane prime number mile unn sabhi ka pairs (joda) banaye.
4) Bane huye sabhi pairs me se only one prime number lijiye.
5) step-4 se mile sabhi prime numbers ko multiply kijiye. Multiplication results hi , humara square root hai.
Also read -:
• Iss fast trick se kariye simple equation instantly solve
• Fast calculate square of numbers ending with 5
• square root in few seconds
Aayiye ab mai aapko example se batata hu.
Ex-1. 784 ka square root , prime factorization method se kaise calculate karte hai ?
Solution -:
1) 784 ka square root calculate karna hai.
2) Ab hume ye maalum karna hai ki wo kon-sa smallest prime number hai . Jisse completely divide ho jaaye . To aap dekh sakte hai ki , 784 prime number 2 se divide ho jaayega.
Isliye hum 784 ko sabse smallest prime number 2 se divide karenge.
Isliye hum 784 ko sabse smallest prime number 2 se divide karenge.
784÷2 = 392
Ab isse aap niche jaise maine likha hai vaise likhe -:
2 | 784
| 392
|
|
|
Ab hum 392 ko 2 se divide karenge.
392÷2 = 196
2 | 784
2 | 392
| 196
|
|
Ab issi tarah se -:
196÷2 = 98
98÷2 = 49
49÷7 = 7
7÷7 = 1
2 | 784
2 | 392
2 | 196
2 | 98
7 | 49
7 | 7
| 1
Ab hum pairs banayenge -:
784 = 2×2×2×2×7×7
Ab inn 3 pairs me se ek-ek number lekar multiply karenge . Multiplication result hi 784 ka square root hoga.
√784 = 2×2×7
= 28
Isliye, √784 = 28
Also read -:
• Fast multiply by 11 in Hindi
Ex-2. √225 = ??
Solution -:
Ab hum prime number -:
2,3,5,7,11.....
se 225 ko divide karke dekhenge ki kis smallest prime number se 225 divide ho jaata hai.
225 ÷ 3 = 75
Also read -:
• Fast multiply by 11 in Hindi
Ex-2. √225 = ??
Solution -:
Ab hum prime number -:
2,3,5,7,11.....
se 225 ko divide karke dekhenge ki kis smallest prime number se 225 divide ho jaata hai.
225 ÷ 3 = 75
3 | 225
| 75
|
|
Ab iss tarah se -:
75 ÷ 3 = 25
25 ÷ 5 = 5
5 ÷ 5 = 1
Solution -:
5 | 1225
5 | 245
7 | 49
7 | 7
| 1
1225 = 5×5×7×7
√1225 = 5×7= 35
√1225 = 35
Ex-4. √3600 = ??
Solution -:
Mai aapki puri help karne ki koshis karunga. iss post ko apne friends k saath jarur share kare.
Thanks for reading !
|
Ab iss tarah se -:
75 ÷ 3 = 25
25 ÷ 5 = 5
5 ÷ 5 = 1
3 | 225
3 | 75
5 | 25
5 | 5
| 1
225 = 3×3×5×5
√225 = 3×5 = 15
Isliye , √225 = 15
Ex-3. √1225 = ??5 | 5
| 1
225 = 3×3×5×5
√225 = 3×5 = 15
Isliye , √225 = 15
Solution -:
5 | 1225
5 | 245
7 | 49
7 | 7
| 1
1225 = 5×5×7×7
√1225 = 5×7= 35
√1225 = 35
Ex-4. √3600 = ??
Solution -:
2 | 3600
2 | 1800
2 | 900
2 | 450
3 | 225
3 | 75
5 | 25
5 | 5
| 1
3600 = 2×2×2×2×3×3×5×5
√3600 = 2×2×3×5 = 60
√3600 = 60
Ex-5. √20449 = ??
Sol.-:
Ex-6. √44100 = ??
Solution-:
Ex-7. √148,225 = ??
Solution -:
5 | 5
| 1
3600 = 2×2×2×2×3×3×5×5
√3600 = 2×2×3×5 = 60
√3600 = 60
Ex-5. √20449 = ??
Sol.-:
11 | 20449
11 | 1859
13 | 169
13 | 13
| 1
20449 = 11×11×13×13
√20449 = 11×13 = 143
| 1
20449 = 11×11×13×13
√20449 = 11×13 = 143
√20449 = 143
Ex-6. √44100 = ??
Solution-:
2 | 44100
2 | 22050
3 | 11025
3 | 3675
5 | 1225
5 | 245
7 | 49
7 | 7
| 1
44100 = 2×2×3×3×5×5×7×7
√44100 = 2×3×5×7 = 210
√44100 = 210
7 | 7
| 1
44100 = 2×2×3×3×5×5×7×7
√44100 = 2×3×5×7 = 210
√44100 = 210
Ex-7. √148,225 = ??
Solution -:
5 | 148225
5 | 29645
7 | 5929
7 | 847
11 | 121
11 | 11
| 1
148225 = 5×5×7×7×11×11
√148,225 = 5×7×11 = 385
√148,225 = 385
Ex-8. √419904 = ??
Sol.-:
419904 = 2×2×2×2×2×2×3×3×3×3×3×3×3×3
√419904 = 2×2×2×3×3×3×3
= 648
√419904 = 648
Ex-9. √938961 = ??
Sol.-:
Ex-10. √2,393,209 =??
Sol.-:
148225 = 5×5×7×7×11×11
√148,225 = 5×7×11 = 385
√148,225 = 385
Ex-8. √419904 = ??
Sol.-:
2|419904
2|209952
2|104976
2|52488
2|26244
2|13122
3|6561
3|2187
3|729
3|243
3|81
3|27
3|9
3|3
3|6561
3|2187
3|729
3|243
3|81
3|27
3|9
3|3
|1
419904 = 2×2×2×2×2×2×3×3×3×3×3×3×3×3
√419904 = 2×2×2×3×3×3×3
= 648
√419904 = 648
Ex-9. √938961 = ??
Sol.-:
3 |938961
3 |312987
17 |104329
17 |6137
19 |361
19 |19
| 1
938961 = 3×3×17×17×19×19
√938961 = 3×17×19
= 969
√938961 = 969
938961 = 3×3×17×17×19×19
√938961 = 3×17×19
= 969
√938961 = 969
Ex-10. √2,393,209 =??
Sol.-:
7 |2393209
7 |341887
13 |48841
13 |3757
17 |289
17 | 17
| 1
2393209 = 7×7×13×13×17×17
√2393209 = 7×13×17 = 1547
√2393209 = 1,547
To friends , I hope aapko prime factorization method se square root calculate karna aa gaya hoga.
Iss topic me aapko kahi par koi bhi problem aayi ho to aap comment kark puchh sakte hai.Mai aapki puri help karne ki koshis karunga. iss post ko apne friends k saath jarur share kare.
Thanks for reading !
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