Simplify Square Root of 1456

Here we will show you step-by-step how to simplify the square root of 1456. The square root of 1456 can be written as follows:


	√	1456

The √ symbol is called the radical sign. To simplify the square root of 1456 means to get the simplest radical form of √1456.

Step 1: List Factors
List the factors of 1456 like so:

1, 2, 4, 7, 8, 13, 14, 16, 26, 28, 52, 56, 91, 104, 112, 182, 208, 364, 728, 1456

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

1, 4, 16

Step 3: Divide
Divide 1456 by the largest perfect square you found in the previous step:

1456 / 16 = 91

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

√16 = 4

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 1456 in its simplest form:


4	√	91

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Decimal Form
Square Root of 1456 in Decimal form rounded to nearest 5 decimals:

38.15757

Exponent Form
Square Root of 1456 written with Exponent instead of Radical:

1456^½ = 4 x 91^½

Simplify Square Root of 1457
The answer to Simplify Square Root of 1456 is not the only problem we solved. Go here for the next problem on our list.

* List of Perfect Squares