Simplify Square Root of 8400

Here we will show you step-by-step how to simplify the square root of 8400. The square root of 8400 can be written as follows:


	√	8400

The √ symbol is called the radical sign. To simplify the square root of 8400 means to get the simplest radical form of √8400.

Step 1: List Factors
List the factors of 8400 like so:

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 16, 20, 21, 24, 25, 28, 30, 35, 40, 42, 48, 50, 56, 60, 70, 75, 80, 84, 100, 105, 112, 120, 140, 150, 168, 175, 200, 210, 240, 280, 300, 336, 350, 400, 420, 525, 560, 600, 700, 840, 1050, 1200, 1400, 1680, 2100, 2800, 4200, 8400

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

1, 4, 16, 25, 100, 400

Step 3: Divide
Divide 8400 by the largest perfect square you found in the previous step:

8400 / 400 = 21

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

√400 = 20

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 8400 in its simplest form:


20	√	21

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Decimal Form
Square Root of 8400 in Decimal form rounded to nearest 5 decimals:

91.65151

Exponent Form
Square Root of 8400 written with Exponent instead of Radical:

8400^½ = 20 x 21^½

Simplify Square Root of 8401
The answer to Simplify Square Root of 8400 is not the only problem we solved. Go here for the next problem on our list.

* List of Perfect Squares