Simplify Square Root of 4756

Here we will show you step-by-step how to simplify the square root of 4756. The square root of 4756 can be written as follows:


	√	4756

The √ symbol is called the radical sign. To simplify the square root of 4756 means to get the simplest radical form of √4756.

Step 1: List Factors
List the factors of 4756 like so:

1, 2, 4, 29, 41, 58, 82, 116, 164, 1189, 2378, 4756

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

1, 4

Step 3: Divide
Divide 4756 by the largest perfect square you found in the previous step:

4756 / 4 = 1189

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 4756 in its simplest form:


2	√	1189

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Decimal Form
Square Root of 4756 in Decimal form rounded to nearest 5 decimals:

68.96376

Exponent Form
Square Root of 4756 written with Exponent instead of Radical:

4756^½ = 2 x 1189^½

Simplify Square Root of 4757
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* List of Perfect Squares