Simplify Square Root of 1472

Here we will show you step-by-step how to simplify the square root of 1472. The square root of 1472 can be written as follows:


	√	1472

The √ symbol is called the radical sign. To simplify the square root of 1472 means to get the simplest radical form of √1472.

Step 1: List Factors
List the factors of 1472 like so:

1, 2, 4, 8, 16, 23, 32, 46, 64, 92, 184, 368, 736, 1472

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

1, 4, 16, 64

Step 3: Divide
Divide 1472 by the largest perfect square you found in the previous step:

1472 / 64 = 23

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

√64 = 8

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 1472 in its simplest form:


8	√	23

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Decimal Form
Square Root of 1472 in Decimal form rounded to nearest 5 decimals:

38.36665

Exponent Form
Square Root of 1472 written with Exponent instead of Radical:

1472^½ = 8 x 23^½

Simplify Square Root of 1473
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* List of Perfect Squares