Simplify Square Root of 5312

Here we will show you step-by-step how to simplify the square root of 5312. The square root of 5312 can be written as follows:


	√	5312

The √ symbol is called the radical sign. To simplify the square root of 5312 means to get the simplest radical form of √5312.

Step 1: List Factors
List the factors of 5312 like so:

1, 2, 4, 8, 16, 32, 64, 83, 166, 332, 664, 1328, 2656, 5312

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

1, 4, 16, 64

Step 3: Divide
Divide 5312 by the largest perfect square you found in the previous step:

5312 / 64 = 83

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

√64 = 8

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 5312 in its simplest form:


8	√	83

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Decimal Form
Square Root of 5312 in Decimal form rounded to nearest 5 decimals:

72.88347

Exponent Form
Square Root of 5312 written with Exponent instead of Radical:

5312^½ = 8 x 83^½

Simplify Square Root of 5313
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* List of Perfect Squares