Simplify Square Root of 740

Here we will show you step-by-step how to simplify the square root of 740. The square root of 740 can be written as follows:


	√	740

The √ symbol is called the radical sign. To simplify the square root of 740 means to get the simplest radical form of √740.

Step 1: List Factors
List the factors of 740 like so:

1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

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

1, 4

Step 3: Divide
Divide 740 by the largest perfect square you found in the previous step:

740 / 4 = 185

Step 4: Calculate
Calculate the square root of the largest perfect square:

√4 = 2

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 740 in its simplest form:


2	√	185

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Decimal Form
Square Root of 740 in Decimal form rounded to nearest 5 decimals:

27.20294

Exponent Form
Square Root of 740 written with Exponent instead of Radical:

740^½ = 2 x 185^½

Simplify Square Root of 741
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* List of Perfect Squares