Simplify Square Root of 4625

Here we will show you step-by-step how to simplify the square root of 4625. The square root of 4625 can be written as follows:


	√	4625

The √ symbol is called the radical sign. To simplify the square root of 4625 means to get the simplest radical form of √4625.

Step 1: List Factors
List the factors of 4625 like so:

1, 5, 25, 37, 125, 185, 925, 4625

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

1, 25

Step 3: Divide
Divide 4625 by the largest perfect square you found in the previous step:

4625 / 25 = 185

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 4625 in its simplest form:


5	√	185

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Decimal Form
Square Root of 4625 in Decimal form rounded to nearest 5 decimals:

68.00735

Exponent Form
Square Root of 4625 written with Exponent instead of Radical:

4625^½ = 5 x 185^½

Simplify Square Root of 4626
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* List of Perfect Squares