Simplify Square Root of 8148

Here we will show you step-by-step how to simplify the square root of 8148. The square root of 8148 can be written as follows:


	√	8148

The √ symbol is called the radical sign. To simplify the square root of 8148 means to get the simplest radical form of √8148.

Step 1: List Factors
List the factors of 8148 like so:

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 97, 194, 291, 388, 582, 679, 1164, 1358, 2037, 2716, 4074, 8148

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

1, 4

Step 3: Divide
Divide 8148 by the largest perfect square you found in the previous step:

8148 / 4 = 2037

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

√4 = 2

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 8148 in its simplest form:


2	√	2037

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Decimal Form
Square Root of 8148 in Decimal form rounded to nearest 5 decimals:

90.26627

Exponent Form
Square Root of 8148 written with Exponent instead of Radical:

8148^½ = 2 x 2037^½

Simplify Square Root of 8149
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* List of Perfect Squares