Question

Find the square root of 4096
1)priem factorization
2)division method​

Answer 1

Solution:

Square root of 4096 by prime factorisation:

4096

= 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2

= 2¹²

So,

√4096

= √(2¹²)

= ±2⁶

= ±64

Square root of 4096 by division method:

 6 ) 4096 ( 64

      36

  ----------------

 124) 496

        496

  ----------------

            0

So,

→ √4096 = ±64

Answer:

• square root of 4096 is ±64.

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