Simplify Square Root of 4901

Here we will show you step-by-step how to simplify the square root of 4901. The square root of 4901 can be written as follows:


	√	4901

The √ symbol is called the radical sign. To simplify the square root of 4901 means to get the simplest radical form of √4901.

Step 1: List Factors
List the factors of 4901 like so:

1, 13, 29, 169, 377, 4901

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

1, 169

Step 3: Divide
Divide 4901 by the largest perfect square you found in the previous step:

4901 / 169 = 29

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

√169 = 13

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 4901 in its simplest form:


13	√	29

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Decimal Form
Square Root of 4901 in Decimal form rounded to nearest 5 decimals:

70.00714

Exponent Form
Square Root of 4901 written with Exponent instead of Radical:

4901^½ = 13 x 29^½

Simplify Square Root of 4902
The answer to Simplify Square Root of 4901 is not the only problem we solved. Go here for the next problem on our list.

* List of Perfect Squares