Simplify Square Root of 2100

Here we will show you step-by-step how to simplify the square root of 2100. The square root of 2100 can be written as follows:


	√	2100

The √ symbol is called the radical sign. To simplify the square root of 2100 means to get the simplest radical form of √2100.

Step 1: List Factors
List the factors of 2100 like so:

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 25, 28, 30, 35, 42, 50, 60, 70, 75, 84, 100, 105, 140, 150, 175, 210, 300, 350, 420, 525, 700, 1050, 2100

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

1, 4, 25, 100

Step 3: Divide
Divide 2100 by the largest perfect square you found in the previous step:

2100 / 100 = 21

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 2100 in its simplest form:


10	√	21

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Decimal Form
Square Root of 2100 in Decimal form rounded to nearest 5 decimals:

45.82576

Exponent Form
Square Root of 2100 written with Exponent instead of Radical:

2100^½ = 10 x 21^½

Simplify Square Root of 2101
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* List of Perfect Squares