Simplify Square Root of 1452

Here we will show you step-by-step how to simplify the square root of 1452. The square root of 1452 can be written as follows:


	√	1452

The √ symbol is called the radical sign. To simplify the square root of 1452 means to get the simplest radical form of √1452.

Step 1: List Factors
List the factors of 1452 like so:

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 121, 132, 242, 363, 484, 726, 1452

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

1, 4, 121, 484

Step 3: Divide
Divide 1452 by the largest perfect square you found in the previous step:

1452 / 484 = 3

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

√484 = 22

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 1452 in its simplest form:


22	√	3

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Decimal Form
Square Root of 1452 in Decimal form rounded to nearest 5 decimals:

38.10512

Exponent Form
Square Root of 1452 written with Exponent instead of Radical:

1452^½ = 22 x 3^½

Simplify Square Root of 1453
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* List of Perfect Squares