Simplify Square Root of 4750

Here we will show you step-by-step how to simplify the square root of 4750. The square root of 4750 can be written as follows:


	√	4750

The √ symbol is called the radical sign. To simplify the square root of 4750 means to get the simplest radical form of √4750.

Step 1: List Factors
List the factors of 4750 like so:

1, 2, 5, 10, 19, 25, 38, 50, 95, 125, 190, 250, 475, 950, 2375, 4750

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

1, 25

Step 3: Divide
Divide 4750 by the largest perfect square you found in the previous step:

4750 / 25 = 190

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

√25 = 5

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 4750 in its simplest form:


5	√	190

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Decimal Form
Square Root of 4750 in Decimal form rounded to nearest 5 decimals:

68.92024

Exponent Form
Square Root of 4750 written with Exponent instead of Radical:

4750^½ = 5 x 190^½

Simplify Square Root of 4751
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* List of Perfect Squares