Find the square root of 784

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 784

We will find the square root of 784 by prime factorisation method

The prime factorisation of 784 can be written as:

784 = 2 x 2 x 2 x 2 x 7 X 7

√784 = √(2 x 2 x 2 X 2 X 7 X 7)

√784 = 2 X 2 x 7 = 28

Answer

Hence, the square root of 784 is 28

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