Simplify Square Root of 1540

Here we will show you step-by-step how to simplify the square root of 1540. The square root of 1540 can be written as follows:


	√	1540

The √ symbol is called the radical sign. To simplify the square root of 1540 means to get the simplest radical form of √1540.

Step 1: List Factors
List the factors of 1540 like so:

1, 2, 4, 5, 7, 10, 11, 14, 20, 22, 28, 35, 44, 55, 70, 77, 110, 140, 154, 220, 308, 385, 770, 1540

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

1, 4

Step 3: Divide
Divide 1540 by the largest perfect square you found in the previous step:

1540 / 4 = 385

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 1540 in its simplest form:


2	√	385

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Decimal Form
Square Root of 1540 in Decimal form rounded to nearest 5 decimals:

39.24283

Exponent Form
Square Root of 1540 written with Exponent instead of Radical:

1540^½ = 2 x 385^½

Simplify Square Root of 1541
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* List of Perfect Squares