Simplify Square Root of 4725

Here we will show you step-by-step how to simplify the square root of 4725. The square root of 4725 can be written as follows:


	√	4725

The √ symbol is called the radical sign. To simplify the square root of 4725 means to get the simplest radical form of √4725.

Step 1: List Factors
List the factors of 4725 like so:

1, 3, 5, 7, 9, 15, 21, 25, 27, 35, 45, 63, 75, 105, 135, 175, 189, 225, 315, 525, 675, 945, 1575, 4725

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

1, 9, 25, 225

Step 3: Divide
Divide 4725 by the largest perfect square you found in the previous step:

4725 / 225 = 21

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

√225 = 15

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 4725 in its simplest form:


15	√	21

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Decimal Form
Square Root of 4725 in Decimal form rounded to nearest 5 decimals:

68.73864

Exponent Form
Square Root of 4725 written with Exponent instead of Radical:

4725^½ = 15 x 21^½

Simplify Square Root of 4726
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* List of Perfect Squares