Simplify Square Root of 4760

Here we will show you step-by-step how to simplify the square root of 4760. The square root of 4760 can be written as follows:


	√	4760

The √ symbol is called the radical sign. To simplify the square root of 4760 means to get the simplest radical form of √4760.

Step 1: List Factors
List the factors of 4760 like so:

1, 2, 4, 5, 7, 8, 10, 14, 17, 20, 28, 34, 35, 40, 56, 68, 70, 85, 119, 136, 140, 170, 238, 280, 340, 476, 595, 680, 952, 1190, 2380, 4760

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

1, 4

Step 3: Divide
Divide 4760 by the largest perfect square you found in the previous step:

4760 / 4 = 1190

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 4760 in its simplest form:


2	√	1190

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Decimal Form
Square Root of 4760 in Decimal form rounded to nearest 5 decimals:

68.99275

Exponent Form
Square Root of 4760 written with Exponent instead of Radical:

4760^½ = 2 x 1190^½

Simplify Square Root of 4761
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* List of Perfect Squares