Simplify Square Root of 7460

Here we will show you step-by-step how to simplify the square root of 7460. The square root of 7460 can be written as follows:


	√	7460

The √ symbol is called the radical sign. To simplify the square root of 7460 means to get the simplest radical form of √7460.

Step 1: List Factors
List the factors of 7460 like so:

1, 2, 4, 5, 10, 20, 373, 746, 1492, 1865, 3730, 7460

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

1, 4

Step 3: Divide
Divide 7460 by the largest perfect square you found in the previous step:

7460 / 4 = 1865

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 7460 in its simplest form:


2	√	1865

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Decimal Form
Square Root of 7460 in Decimal form rounded to nearest 5 decimals:

86.37129

Exponent Form
Square Root of 7460 written with Exponent instead of Radical:

7460^½ = 2 x 1865^½

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* List of Perfect Squares