Simplify Square Root of 3152

Here we will show you step-by-step how to simplify the square root of 3152. The square root of 3152 can be written as follows:


	√	3152

The √ symbol is called the radical sign. To simplify the square root of 3152 means to get the simplest radical form of √3152.

Step 1: List Factors
List the factors of 3152 like so:

1, 2, 4, 8, 16, 197, 394, 788, 1576, 3152

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

1, 4, 16

Step 3: Divide
Divide 3152 by the largest perfect square you found in the previous step:

3152 / 16 = 197

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

√16 = 4

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 3152 in its simplest form:


4	√	197

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Decimal Form
Square Root of 3152 in Decimal form rounded to nearest 5 decimals:

56.14268

Exponent Form
Square Root of 3152 written with Exponent instead of Radical:

3152^½ = 4 x 197^½

Simplify Square Root of 3153
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* List of Perfect Squares