Simplify Square Root of 6250

Here we will show you step-by-step how to simplify the square root of 6250. The square root of 6250 can be written as follows:


	√	6250

The √ symbol is called the radical sign. To simplify the square root of 6250 means to get the simplest radical form of √6250.

Step 1: List Factors
List the factors of 6250 like so:

1, 2, 5, 10, 25, 50, 125, 250, 625, 1250, 3125, 6250

Step 2: Find Perfect Squares
Identify the perfect squares* from the list of factors above:

1, 25, 625

Step 3: Divide
Divide 6250 by the largest perfect square you found in the previous step:

6250 / 625 = 10

Step 4: Calculate
Calculate the square root of the largest perfect square:

√625 = 25

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 6250 in its simplest form:


25	√	10

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Decimal Form
Square Root of 6250 in Decimal form rounded to nearest 5 decimals:

79.05694

Exponent Form
Square Root of 6250 written with Exponent instead of Radical:

6250^½ = 25 x 10^½

Simplify Square Root of 6251
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* List of Perfect Squares