Question

what is cube root and square root explain in Hindi

Answer 1

प्रिय शिष्य,
उत्तर:

1. square root of a number:-

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.

Aayiye example se samjhate hai -

Kisi diye huye number " x " ka square root -

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



2. cube root of a number:-
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.


Defination-
" 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 .













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