Simplify Square Root of 5436

Here we will show you step-by-step how to simplify the square root of 5436. The square root of 5436 can be written as follows:


	√	5436

The √ symbol is called the radical sign. To simplify the square root of 5436 means to get the simplest radical form of √5436.

Step 1: List Factors
List the factors of 5436 like so:

1, 2, 3, 4, 6, 9, 12, 18, 36, 151, 302, 453, 604, 906, 1359, 1812, 2718, 5436

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

1, 4, 9, 36

Step 3: Divide
Divide 5436 by the largest perfect square you found in the previous step:

5436 / 36 = 151

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

√36 = 6

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 5436 in its simplest form:


6	√	151

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Decimal Form
Square Root of 5436 in Decimal form rounded to nearest 5 decimals:

73.72923

Exponent Form
Square Root of 5436 written with Exponent instead of Radical:

5436^½ = 6 x 151^½

Simplify Square Root of 5437
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* List of Perfect Squares