Simplify Square Root of 1380

Here we will show you step-by-step how to simplify the square root of 1380. The square root of 1380 can be written as follows:


	√	1380

The √ symbol is called the radical sign. To simplify the square root of 1380 means to get the simplest radical form of √1380.

Step 1: List Factors
List the factors of 1380 like so:

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 23, 30, 46, 60, 69, 92, 115, 138, 230, 276, 345, 460, 690, 1380

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

1, 4

Step 3: Divide
Divide 1380 by the largest perfect square you found in the previous step:

1380 / 4 = 345

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 1380 in its simplest form:


2	√	345

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Decimal Form
Square Root of 1380 in Decimal form rounded to nearest 5 decimals:

37.14835

Exponent Form
Square Root of 1380 written with Exponent instead of Radical:

1380^½ = 2 x 345^½

Simplify Square Root of 1381
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* List of Perfect Squares