Simplify Square Root of 4544

Here we will show you step-by-step how to simplify the square root of 4544. The square root of 4544 can be written as follows:


	√	4544

The √ symbol is called the radical sign. To simplify the square root of 4544 means to get the simplest radical form of √4544.

Step 1: List Factors
List the factors of 4544 like so:

1, 2, 4, 8, 16, 32, 64, 71, 142, 284, 568, 1136, 2272, 4544

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

1, 4, 16, 64

Step 3: Divide
Divide 4544 by the largest perfect square you found in the previous step:

4544 / 64 = 71

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

√64 = 8

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 4544 in its simplest form:


8	√	71

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Decimal Form
Square Root of 4544 in Decimal form rounded to nearest 5 decimals:

67.4092

Exponent Form
Square Root of 4544 written with Exponent instead of Radical:

4544^½ = 8 x 71^½

Simplify Square Root of 4545
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* List of Perfect Squares