Simplify Square Root of 1364

Here we will show you step-by-step how to simplify the square root of 1364. The square root of 1364 can be written as follows:


	√	1364

The √ symbol is called the radical sign. To simplify the square root of 1364 means to get the simplest radical form of √1364.

Step 1: List Factors
List the factors of 1364 like so:

1, 2, 4, 11, 22, 31, 44, 62, 124, 341, 682, 1364

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

1, 4

Step 3: Divide
Divide 1364 by the largest perfect square you found in the previous step:

1364 / 4 = 341

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 1364 in its simplest form:


2	√	341

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Decimal Form
Square Root of 1364 in Decimal form rounded to nearest 5 decimals:

36.93237

Exponent Form
Square Root of 1364 written with Exponent instead of Radical:

1364^½ = 2 x 341^½

Simplify Square Root of 1365
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* List of Perfect Squares