Simplify Square Root of 4508

Here we will show you step-by-step how to simplify the square root of 4508. The square root of 4508 can be written as follows:


	√	4508

The √ symbol is called the radical sign. To simplify the square root of 4508 means to get the simplest radical form of √4508.

Step 1: List Factors
List the factors of 4508 like so:

1, 2, 4, 7, 14, 23, 28, 46, 49, 92, 98, 161, 196, 322, 644, 1127, 2254, 4508

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

1, 4, 49, 196

Step 3: Divide
Divide 4508 by the largest perfect square you found in the previous step:

4508 / 196 = 23

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

√196 = 14

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 4508 in its simplest form:


14	√	23

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Decimal Form
Square Root of 4508 in Decimal form rounded to nearest 5 decimals:

67.14164

Exponent Form
Square Root of 4508 written with Exponent instead of Radical:

4508^½ = 14 x 23^½

Simplify Square Root of 4509
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* List of Perfect Squares