Simplify Square Root of 4712

Here we will show you step-by-step how to simplify the square root of 4712. The square root of 4712 can be written as follows:


	√	4712

The √ symbol is called the radical sign. To simplify the square root of 4712 means to get the simplest radical form of √4712.

Step 1: List Factors
List the factors of 4712 like so:

1, 2, 4, 8, 19, 31, 38, 62, 76, 124, 152, 248, 589, 1178, 2356, 4712

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

1, 4

Step 3: Divide
Divide 4712 by the largest perfect square you found in the previous step:

4712 / 4 = 1178

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 4712 in its simplest form:


2	√	1178

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Decimal Form
Square Root of 4712 in Decimal form rounded to nearest 5 decimals:

68.64401

Exponent Form
Square Root of 4712 written with Exponent instead of Radical:

4712^½ = 2 x 1178^½

Simplify Square Root of 4713
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* List of Perfect Squares