Simplify Square Root of 5925

Here we will show you step-by-step how to simplify the square root of 5925. The square root of 5925 can be written as follows:


	√	5925

The √ symbol is called the radical sign. To simplify the square root of 5925 means to get the simplest radical form of √5925.

Step 1: List Factors
List the factors of 5925 like so:

1, 3, 5, 15, 25, 75, 79, 237, 395, 1185, 1975, 5925

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

1, 25

Step 3: Divide
Divide 5925 by the largest perfect square you found in the previous step:

5925 / 25 = 237

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 5925 in its simplest form:


5	√	237

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Decimal Form
Square Root of 5925 in Decimal form rounded to nearest 5 decimals:

76.97402

Exponent Form
Square Root of 5925 written with Exponent instead of Radical:

5925^½ = 5 x 237^½

Simplify Square Root of 5926
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* List of Perfect Squares