Simplify Square Root of 4700

Here we will show you step-by-step how to simplify the square root of 4700. The square root of 4700 can be written as follows:


	√	4700

The √ symbol is called the radical sign. To simplify the square root of 4700 means to get the simplest radical form of √4700.

Step 1: List Factors
List the factors of 4700 like so:

1, 2, 4, 5, 10, 20, 25, 47, 50, 94, 100, 188, 235, 470, 940, 1175, 2350, 4700

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

1, 4, 25, 100

Step 3: Divide
Divide 4700 by the largest perfect square you found in the previous step:

4700 / 100 = 47

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

√100 = 10

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 4700 in its simplest form:


10	√	47

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Decimal Form
Square Root of 4700 in Decimal form rounded to nearest 5 decimals:

68.55655

Exponent Form
Square Root of 4700 written with Exponent instead of Radical:

4700^½ = 10 x 47^½

Simplify Square Root of 4701
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* List of Perfect Squares