Simplify Square Root of 4100

Here we will show you step-by-step how to simplify the square root of 4100. The square root of 4100 can be written as follows:


	√	4100

The √ symbol is called the radical sign. To simplify the square root of 4100 means to get the simplest radical form of √4100.

Step 1: List Factors
List the factors of 4100 like so:

1, 2, 4, 5, 10, 20, 25, 41, 50, 82, 100, 164, 205, 410, 820, 1025, 2050, 4100

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

1, 4, 25, 100

Step 3: Divide
Divide 4100 by the largest perfect square you found in the previous step:

4100 / 100 = 41

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 4100 in its simplest form:


10	√	41

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Decimal Form
Square Root of 4100 in Decimal form rounded to nearest 5 decimals:

64.03124

Exponent Form
Square Root of 4100 written with Exponent instead of Radical:

4100^½ = 10 x 41^½

Simplify Square Root of 4101
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* List of Perfect Squares