HOW I CAN FIND THE SQUAR ROOT OF A SQUAR ROOT NUMBER ?

PLEASE TELL ME THE EASIEST WAY TO DO IT

Answer :

We can find square root of  a number by prime factorisation method .

As : Find value of 6400 , So

6400 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 ×

So,

6400 = ( 2 × 2 × 2 ×2 × 5 )2

6400 = ( 80 )2

So,

6400 =  80                                            ( Ans )

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the given way is the easiest one but for a smaller number you can find it s prime factors and then group the same ones into twos . then take one from each of the groups out and multiply it ( if any no. is left just let it be)

Eg. find the square root of 16

(2 * 2) * (2 * 2)

2 * 2 = 4

the square root of 16 is 4

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