Simplify Square Root of 7452

Here we will show you step-by-step how to simplify the square root of 7452. The square root of 7452 can be written as follows:


	√	7452

The √ symbol is called the radical sign. To simplify the square root of 7452 means to get the simplest radical form of √7452.

Step 1: List Factors
List the factors of 7452 like so:

1, 2, 3, 4, 6, 9, 12, 18, 23, 27, 36, 46, 54, 69, 81, 92, 108, 138, 162, 207, 276, 324, 414, 621, 828, 1242, 1863, 2484, 3726, 7452

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

1, 4, 9, 36, 81, 324

Step 3: Divide
Divide 7452 by the largest perfect square you found in the previous step:

7452 / 324 = 23

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

√324 = 18

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 7452 in its simplest form:


18	√	23

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Decimal Form
Square Root of 7452 in Decimal form rounded to nearest 5 decimals:

86.32497

Exponent Form
Square Root of 7452 written with Exponent instead of Radical:

7452^½ = 18 x 23^½

Simplify Square Root of 7453
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* List of Perfect Squares