Simplify Square Root of 2148

Here we will show you step-by-step how to simplify the square root of 2148. The square root of 2148 can be written as follows:


	√	2148

The √ symbol is called the radical sign. To simplify the square root of 2148 means to get the simplest radical form of √2148.

Step 1: List Factors
List the factors of 2148 like so:

1, 2, 3, 4, 6, 12, 179, 358, 537, 716, 1074, 2148

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

1, 4

Step 3: Divide
Divide 2148 by the largest perfect square you found in the previous step:

2148 / 4 = 537

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 2148 in its simplest form:


2	√	537

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Decimal Form
Square Root of 2148 in Decimal form rounded to nearest 5 decimals:

46.34652

Exponent Form
Square Root of 2148 written with Exponent instead of Radical:

2148^½ = 2 x 537^½

Simplify Square Root of 2149
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* List of Perfect Squares