Find the square root of 256

Square root of a number is the value that returns the original number on multiplied by itself. Finding square root by prime factorisation is an easy method. We need to factories the number under the root and pair them in two.

Finding the square root of 256

We will find the square root of 256 by prime factorisation method

The prime factorisation of 256 can be written as:

256 = 2 X 2 X 2 X 2 X 2 X 2 X 2 X 2

√256 = √(2 X 2 X 2 X 2 X 2 X 2 X 2 X 2)

√256= (2 X 2 X 2 X 2 )

√256= 16

Answer

Hence, the square root of 256 is 16

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