Simplify Square Root of 4540

Here we will show you step-by-step how to simplify the square root of 4540. The square root of 4540 can be written as follows:


	√	4540

The √ symbol is called the radical sign. To simplify the square root of 4540 means to get the simplest radical form of √4540.

Step 1: List Factors
List the factors of 4540 like so:

1, 2, 4, 5, 10, 20, 227, 454, 908, 1135, 2270, 4540

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

1, 4

Step 3: Divide
Divide 4540 by the largest perfect square you found in the previous step:

4540 / 4 = 1135

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

√4 = 2

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 4540 in its simplest form:


2	√	1135

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Decimal Form
Square Root of 4540 in Decimal form rounded to nearest 5 decimals:

67.37952

Exponent Form
Square Root of 4540 written with Exponent instead of Radical:

4540^½ = 2 x 1135^½

Simplify Square Root of 4541
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* List of Perfect Squares