Simplify Square Root of 1560

Here we will show you step-by-step how to simplify the square root of 1560. The square root of 1560 can be written as follows:


	√	1560

The √ symbol is called the radical sign. To simplify the square root of 1560 means to get the simplest radical form of √1560.

Step 1: List Factors
List the factors of 1560 like so:

1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 20, 24, 26, 30, 39, 40, 52, 60, 65, 78, 104, 120, 130, 156, 195, 260, 312, 390, 520, 780, 1560

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

1, 4

Step 3: Divide
Divide 1560 by the largest perfect square you found in the previous step:

1560 / 4 = 390

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 1560 in its simplest form:


2	√	390

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Decimal Form
Square Root of 1560 in Decimal form rounded to nearest 5 decimals:

39.49684

Exponent Form
Square Root of 1560 written with Exponent instead of Radical:

1560^½ = 2 x 390^½

Simplify Square Root of 1561
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* List of Perfect Squares