Simplify Square Root of 7250

Here we will show you step-by-step how to simplify the square root of 7250. The square root of 7250 can be written as follows:


	√	7250

The √ symbol is called the radical sign. To simplify the square root of 7250 means to get the simplest radical form of √7250.

Step 1: List Factors
List the factors of 7250 like so:

1, 2, 5, 10, 25, 29, 50, 58, 125, 145, 250, 290, 725, 1450, 3625, 7250

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

1, 25

Step 3: Divide
Divide 7250 by the largest perfect square you found in the previous step:

7250 / 25 = 290

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

√25 = 5

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 7250 in its simplest form:


5	√	290

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Decimal Form
Square Root of 7250 in Decimal form rounded to nearest 5 decimals:

85.14693

Exponent Form
Square Root of 7250 written with Exponent instead of Radical:

7250^½ = 5 x 290^½

Simplify Square Root of 7251
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* List of Perfect Squares