Simplify Square Root of 4200

Here we will show you step-by-step how to simplify the square root of 4200. The square root of 4200 can be written as follows:


	√	4200

The √ symbol is called the radical sign. To simplify the square root of 4200 means to get the simplest radical form of √4200.

Step 1: List Factors
List the factors of 4200 like so:

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

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

1, 4, 25, 100

Step 3: Divide
Divide 4200 by the largest perfect square you found in the previous step:

4200 / 100 = 42

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 4200 in its simplest form:


10	√	42

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Decimal Form
Square Root of 4200 in Decimal form rounded to nearest 5 decimals:

64.80741

Exponent Form
Square Root of 4200 written with Exponent instead of Radical:

4200^½ = 10 x 42^½

Simplify Square Root of 4201
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* List of Perfect Squares