Simplify Square Root of 7400

Here we will show you step-by-step how to simplify the square root of 7400. The square root of 7400 can be written as follows:


	√	7400

The √ symbol is called the radical sign. To simplify the square root of 7400 means to get the simplest radical form of √7400.

Step 1: List Factors
List the factors of 7400 like so:

1, 2, 4, 5, 8, 10, 20, 25, 37, 40, 50, 74, 100, 148, 185, 200, 296, 370, 740, 925, 1480, 1850, 3700, 7400

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

1, 4, 25, 100

Step 3: Divide
Divide 7400 by the largest perfect square you found in the previous step:

7400 / 100 = 74

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 7400 in its simplest form:


10	√	74

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Decimal Form
Square Root of 7400 in Decimal form rounded to nearest 5 decimals:

86.02325

Exponent Form
Square Root of 7400 written with Exponent instead of Radical:

7400^½ = 10 x 74^½

Simplify Square Root of 7401
The answer to Simplify Square Root of 7400 is not the only problem we solved. Go here for the next problem on our list.

* List of Perfect Squares