Simplify Square Root of 1372

Here we will show you step-by-step how to simplify the square root of 1372. The square root of 1372 can be written as follows:


	√	1372

The √ symbol is called the radical sign. To simplify the square root of 1372 means to get the simplest radical form of √1372.

Step 1: List Factors
List the factors of 1372 like so:

1, 2, 4, 7, 14, 28, 49, 98, 196, 343, 686, 1372

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

1, 4, 49, 196

Step 3: Divide
Divide 1372 by the largest perfect square you found in the previous step:

1372 / 196 = 7

Step 4: Calculate
Calculate the square root of the largest perfect square:

√196 = 14

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 1372 in its simplest form:


14	√	7

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Decimal Form
Square Root of 1372 in Decimal form rounded to nearest 5 decimals:

37.04052

Exponent Form
Square Root of 1372 written with Exponent instead of Radical:

1372^½ = 14 x 7^½

Simplify Square Root of 1373
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* List of Perfect Squares