Question

Find the prime factors and square root 256.​

Answer 1

Answer:

Square Root of 256 by Prime factorization method

Step 1: Determine the prime factors using prime factorization. ...

Group the prime factors obtained for 256 in pairs.

Pick one factor from each pair and they can be written in the form: 256 = (2 × 2 × 2 × 2)2

Thus, following the law of exponents, we get, √256 = √(162) = 16½

Answer 2

Answer:

Square Root of 256

Step-by-step explanation:

The square root of 256 is expressed as √256 in the radical form and as (256)½ or (256)0.5 in the exponent form. The square root of 256 is 16. It is the positive solution of the equation x2 = 256. The number 256 is a perfect square.

Square Root of 256: 16

Square Root of 256 in exponential form: (256)½ or (256)0.5

Square Root of 256 in radical form: √256