रविवार, अप्रैल 02, 2017

Square root

Hello friends , jab se maine square root in few seconds par post kiya hai , tab se mere paas , mere bahot saare friends ki request aa rahi hai ki , aap square root general method se solve karna batayiye.
To isliye aaj se maine decide kiya hai , ki mai square root ki full information aapko details me batau.
Square root

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• Kya aapko koi help mathematics me chahiye?

Mai 4-5 post me iss topic ko complete karunga. To ye post square root part -1 hai. Jisme aaj hum issk baare me full details me jaaenge. To chaliye start karte hai.


What is a square root of a number ?

( Kisi number ka square root kya hota hai ? )
Friends , square root ko hindi me vargmul ( वर्गमूल ) kahate hai.

Defination of square root-:

" kisi diye huye number ka square root , aisa number hota hai jo khud se multiply karne par diya huaa number hi aata hai."

Square root ko " √ " se denote karte hai.

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Aayiye example se samjhate hai -:

Kisi diye huye number " x " ka square root -:

Diye huye number x ka square root aisa number hota hai, Jiska khud se multiply  (i.e. y×y ) karne par result ( y×y = x ) mile.

Aur isse    √x =±y  se denote karte hai.
Yaha sign ± ka matalab hai ki diye huye number ka square root negative and positive dono number ho sakta hai. Jaise uppar k example me x ka square root 
√x = - y aur +y dono ho sakta hai , kyuki (-y)×(-y) = x
              y×y = x
 dono ho sakta hai.

Aayiye ab kuch number wale example se samjhte hai.

For example-:

• square root of 1

Hume 1 ka square root maalum karna hai to hum jaante hai ki,
 1×1 = 1 and (-1)×(-1) = 1
Isliye 1 ka square root = ±1 aur isse √1 = ±1 se denote karte hai.

• square root of 4

Hum jaante hai ki ,
               2×2 = (-2)×(-2) = 4 
Isliye          √4 = ± 2

• square root of  9 

3×3 = (-3)×(-3) = 9
        √9 =±3

Similarly ,

• √ 16 = ??
 4×4 = (-4)×(-4) = 16
    √16 =  ±4

• √25 = ??
 5×5 =(-5)×(-5) = 25
     √25 = ±5



• √36 = ??
 6×6 = (-6)×(-6) = 36
 √36 = ±6

• √49 =??
7×7 = (-7)×(-7) = 49
 isliye √49 = ± 7

• √64 = ??
8×8 = (-8)×(-8) = 64
√64 = ±8

• √81 = ??
9×9 = (-9)×(-9) = 81
 √81 = ±9

•√100 =??
10×10 = (-10)×(-10) = 100
Isliye √100 ±10

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• 10 seconds me area of the triangle question solve

To ab aap jaan chuke honge ki , square root kya hota hai ?

Ab mai aapko bataunga ki , square root calculate kaise karte hai ?

How to calculate square root of any number ?

( Kisi bhi number ka square root kaise nikalate hai ? )

Friends , kisi bhi number ka square root nikalne k two method hai -:

1. Prime factorization method
2. Long division method

friends inn dono method ki help se square root kaise nikalate hai ?
Ye mai aapko apne next post me bataunga.
To apne next post me hum sikhenge ki Square root prime factorization method se kaise calculate karte hai ?

Tab tak k liye itana hi . Aapko aaj ka ye topic kaisa laga ? hume comment kark jarur bataye.
Aapki koi mathematics problem , suggestions , ya kuch nhi samjh aaya ho . To humse jarur puche . Hum aapki help karne ki puri koshis karenge.
Agar aapko ye article pasand aaya ho to please isse share kare.
Also read -:
• Triangle and its types and defination in hindi
• Subtraction trick without using borrowing for 2-digit number

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