Simplify Square Root of 5250

Here we will show you step-by-step how to simplify the square root of 5250. The square root of 5250 can be written as follows:


	√	5250

The √ symbol is called the radical sign. To simplify the square root of 5250 means to get the simplest radical form of √5250.

Step 1: List Factors
List the factors of 5250 like so:

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 25, 30, 35, 42, 50, 70, 75, 105, 125, 150, 175, 210, 250, 350, 375, 525, 750, 875, 1050, 1750, 2625, 5250

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

1, 25

Step 3: Divide
Divide 5250 by the largest perfect square you found in the previous step:

5250 / 25 = 210

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 5250 in its simplest form:


5	√	210

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Decimal Form
Square Root of 5250 in Decimal form rounded to nearest 5 decimals:

72.45688

Exponent Form
Square Root of 5250 written with Exponent instead of Radical:

5250^½ = 5 x 210^½

Simplify Square Root of 5251
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* List of Perfect Squares