Simplify Square Root of 2600

Here we will show you step-by-step how to simplify the square root of 2600. The square root of 2600 can be written as follows:


	√	2600

The √ symbol is called the radical sign. To simplify the square root of 2600 means to get the simplest radical form of √2600.

Step 1: List Factors
List the factors of 2600 like so:

1, 2, 4, 5, 8, 10, 13, 20, 25, 26, 40, 50, 52, 65, 100, 104, 130, 200, 260, 325, 520, 650, 1300, 2600

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

1, 4, 25, 100

Step 3: Divide
Divide 2600 by the largest perfect square you found in the previous step:

2600 / 100 = 26

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 2600 in its simplest form:


10	√	26

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Decimal Form
Square Root of 2600 in Decimal form rounded to nearest 5 decimals:

50.9902

Exponent Form
Square Root of 2600 written with Exponent instead of Radical:

2600^½ = 10 x 26^½

Simplify Square Root of 2601
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* List of Perfect Squares