Simplify Square Root of 5376

Here we will show you step-by-step how to simplify the square root of 5376. The square root of 5376 can be written as follows:


	√	5376

The √ symbol is called the radical sign. To simplify the square root of 5376 means to get the simplest radical form of √5376.

Step 1: List Factors
List the factors of 5376 like so:

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 64, 84, 96, 112, 128, 168, 192, 224, 256, 336, 384, 448, 672, 768, 896, 1344, 1792, 2688, 5376

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

1, 4, 16, 64, 256

Step 3: Divide
Divide 5376 by the largest perfect square you found in the previous step:

5376 / 256 = 21

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

√256 = 16

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 5376 in its simplest form:


16	√	21

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Decimal Form
Square Root of 5376 in Decimal form rounded to nearest 5 decimals:

73.32121

Exponent Form
Square Root of 5376 written with Exponent instead of Radical:

5376^½ = 16 x 21^½

Simplify Square Root of 5377
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* List of Perfect Squares