Simplify Square Root of 4536

Here we will show you step-by-step how to simplify the square root of 4536. The square root of 4536 can be written as follows:


	√	4536

The √ symbol is called the radical sign. To simplify the square root of 4536 means to get the simplest radical form of √4536.

Step 1: List Factors
List the factors of 4536 like so:

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 27, 28, 36, 42, 54, 56, 63, 72, 81, 84, 108, 126, 162, 168, 189, 216, 252, 324, 378, 504, 567, 648, 756, 1134, 1512, 2268, 4536

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

1, 4, 9, 36, 81, 324

Step 3: Divide
Divide 4536 by the largest perfect square you found in the previous step:

4536 / 324 = 14

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

√324 = 18

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 4536 in its simplest form:


18	√	14

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Decimal Form
Square Root of 4536 in Decimal form rounded to nearest 5 decimals:

67.34983

Exponent Form
Square Root of 4536 written with Exponent instead of Radical:

4536^½ = 18 x 14^½

Simplify Square Root of 4537
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* List of Perfect Squares