Simplify Square Root of 7540

Here we will show you step-by-step how to simplify the square root of 7540. The square root of 7540 can be written as follows:


	√	7540

The √ symbol is called the radical sign. To simplify the square root of 7540 means to get the simplest radical form of √7540.

Step 1: List Factors
List the factors of 7540 like so:

1, 2, 4, 5, 10, 13, 20, 26, 29, 52, 58, 65, 116, 130, 145, 260, 290, 377, 580, 754, 1508, 1885, 3770, 7540

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

1, 4

Step 3: Divide
Divide 7540 by the largest perfect square you found in the previous step:

7540 / 4 = 1885

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 7540 in its simplest form:


2	√	1885

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Decimal Form
Square Root of 7540 in Decimal form rounded to nearest 5 decimals:

86.83317

Exponent Form
Square Root of 7540 written with Exponent instead of Radical:

7540^½ = 2 x 1885^½

Simplify Square Root of 7541
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* List of Perfect Squares