Simplify Square Root of 4563

Here we will show you step-by-step how to simplify the square root of 4563. The square root of 4563 can be written as follows:


	√	4563

The √ symbol is called the radical sign. To simplify the square root of 4563 means to get the simplest radical form of √4563.

Step 1: List Factors
List the factors of 4563 like so:

1, 3, 9, 13, 27, 39, 117, 169, 351, 507, 1521, 4563

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

1, 9, 169, 1521

Step 3: Divide
Divide 4563 by the largest perfect square you found in the previous step:

4563 / 1521 = 3

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

√1521 = 39

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 4563 in its simplest form:


39	√	3

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Decimal Form
Square Root of 4563 in Decimal form rounded to nearest 5 decimals:

67.54998

Exponent Form
Square Root of 4563 written with Exponent instead of Radical:

4563^½ = 39 x 3^½

Simplify Square Root of 4564
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* List of Perfect Squares