Simplify Square Root of 7600

Here we will show you step-by-step how to simplify the square root of 7600. The square root of 7600 can be written as follows:


	√	7600

The √ symbol is called the radical sign. To simplify the square root of 7600 means to get the simplest radical form of √7600.

Step 1: List Factors
List the factors of 7600 like so:

1, 2, 4, 5, 8, 10, 16, 19, 20, 25, 38, 40, 50, 76, 80, 95, 100, 152, 190, 200, 304, 380, 400, 475, 760, 950, 1520, 1900, 3800, 7600

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 7600 by the largest perfect square you found in the previous step:

7600 / 400 = 19

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 7600 in its simplest form:


20	√	19

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Decimal Form
Square Root of 7600 in Decimal form rounded to nearest 5 decimals:

87.17798

Exponent Form
Square Root of 7600 written with Exponent instead of Radical:

7600^½ = 20 x 19^½

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* List of Perfect Squares