Simplify Square Root of 5700

Here we will show you step-by-step how to simplify the square root of 5700. The square root of 5700 can be written as follows:


	√	5700

The √ symbol is called the radical sign. To simplify the square root of 5700 means to get the simplest radical form of √5700.

Step 1: List Factors
List the factors of 5700 like so:

1, 2, 3, 4, 5, 6, 10, 12, 15, 19, 20, 25, 30, 38, 50, 57, 60, 75, 76, 95, 100, 114, 150, 190, 228, 285, 300, 380, 475, 570, 950, 1140, 1425, 1900, 2850, 5700

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

1, 4, 25, 100

Step 3: Divide
Divide 5700 by the largest perfect square you found in the previous step:

5700 / 100 = 57

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

√100 = 10

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 5700 in its simplest form:


10	√	57

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Decimal Form
Square Root of 5700 in Decimal form rounded to nearest 5 decimals:

75.49834

Exponent Form
Square Root of 5700 written with Exponent instead of Radical:

5700^½ = 10 x 57^½

Simplify Square Root of 5701
The answer to Simplify Square Root of 5700 is not the only problem we solved. Go here for the next problem on our list.

* List of Perfect Squares