Simplify Square Root of 200

Here we will show you step-by-step how to simplify the square root of 200. The square root of 200 can be written as follows:


	√	200

The √ symbol is called the radical sign. To simplify the square root of 200 means to get the simplest radical form of √200.

Step 1: List Factors
List the factors of 200 like so:

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

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

1, 4, 25, 100

Step 3: Divide
Divide 200 by the largest perfect square you found in the previous step:

200 / 100 = 2

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 200 in its simplest form:


10	√	2

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Decimal Form
Square Root of 200 in Decimal form rounded to nearest 5 decimals:

14.14214

Exponent Form
Square Root of 200 written with Exponent instead of Radical:

200^½ = 10 x 2^½

Simplify Square Root of 201
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* List of Perfect Squares