Simplify Square Root of 5396

Here we will show you step-by-step how to simplify the square root of 5396. The square root of 5396 can be written as follows:


	√	5396

The √ symbol is called the radical sign. To simplify the square root of 5396 means to get the simplest radical form of √5396.

Step 1: List Factors
List the factors of 5396 like so:

1, 2, 4, 19, 38, 71, 76, 142, 284, 1349, 2698, 5396

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

1, 4

Step 3: Divide
Divide 5396 by the largest perfect square you found in the previous step:

5396 / 4 = 1349

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 5396 in its simplest form:


2	√	1349

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Decimal Form
Square Root of 5396 in Decimal form rounded to nearest 5 decimals:

73.45747

Exponent Form
Square Root of 5396 written with Exponent instead of Radical:

5396^½ = 2 x 1349^½

Simplify Square Root of 5397
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* List of Perfect Squares