Simplify Square Root of 8532

Here we will show you step-by-step how to simplify the square root of 8532. The square root of 8532 can be written as follows:


	√	8532

The √ symbol is called the radical sign. To simplify the square root of 8532 means to get the simplest radical form of √8532.

Step 1: List Factors
List the factors of 8532 like so:

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 79, 108, 158, 237, 316, 474, 711, 948, 1422, 2133, 2844, 4266, 8532

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

1, 4, 9, 36

Step 3: Divide
Divide 8532 by the largest perfect square you found in the previous step:

8532 / 36 = 237

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

√36 = 6

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 8532 in its simplest form:


6	√	237

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Decimal Form
Square Root of 8532 in Decimal form rounded to nearest 5 decimals:

92.36883

Exponent Form
Square Root of 8532 written with Exponent instead of Radical:

8532^½ = 6 x 237^½

Simplify Square Root of 8533
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* List of Perfect Squares