Simplify Square Root of 1250

Here we will show you step-by-step how to simplify the square root of 1250. The square root of 1250 can be written as follows:


	√	1250

The √ symbol is called the radical sign. To simplify the square root of 1250 means to get the simplest radical form of √1250.

Step 1: List Factors
List the factors of 1250 like so:

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

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

1, 25, 625

Step 3: Divide
Divide 1250 by the largest perfect square you found in the previous step:

1250 / 625 = 2

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 1250 in its simplest form:


25	√	2

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Decimal Form
Square Root of 1250 in Decimal form rounded to nearest 5 decimals:

35.35534

Exponent Form
Square Root of 1250 written with Exponent instead of Radical:

1250^½ = 25 x 2^½

Simplify Square Root of 1251
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* List of Perfect Squares