The square root of 125, What is a square root, and how would you find a square root? The square root of 125 in the radical form is expressed as √125. The square root is rounded up to 8 decimals is 11.1803398875.

(125)^{½} = 11.1803398875 in exponent form.

**What Is Square Root?**

The square root of a number x is that number which when multiplied by itself gives x as a product.

Examples

since 7 x 7 = 49, so, **√49 = √ (7 7) = 7**

3/5 x 3/5 = 9/25 , so,9/25= 3/5 = √3/5 is 3/5

**How To Find Out The Square Root Of 125?**

What is the square root of 125? It is not a perfect square and will not be written in whole numbers. In order to find the answer, we use a prime factorization number. We all know that a square root is an inverse way of squaring a number.

125 is an imperfect number so to find out the exact square root we use the long division method If you want an answer in the radical form you can use the prime factorization method.

**Prime Factorisation Method**

Square Root Of 125 Simplified

The product of 125 is 5 x 5 x 5

125 = (5 x 5) x 5

25 = 52 x 5

√125 = 5√5

the value of √5 = 2.2360679775

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Therefore, 5√5 = 5 x 2.2360679775 = 11.1803398875

the square root of 125 is:

**√125 = 11.1803398875**