Simplify Square Root of 2538

Here we will show you step-by-step how to simplify the square root of 2538. The square root of 2538 can be written as follows:


	√	2538

The √ symbol is called the radical sign. To simplify the square root of 2538 means to get the simplest radical form of √2538.

Step 1: List Factors
List the factors of 2538 like so:

1, 2, 3, 6, 9, 18, 27, 47, 54, 94, 141, 282, 423, 846, 1269, 2538

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

1, 9

Step 3: Divide
Divide 2538 by the largest perfect square you found in the previous step:

2538 / 9 = 282

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

√9 = 3

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 2538 in its simplest form:


3	√	282

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Decimal Form
Square Root of 2538 in Decimal form rounded to nearest 5 decimals:

50.37857

Exponent Form
Square Root of 2538 written with Exponent instead of Radical:

2538^½ = 3 x 282^½

Simplify Square Root of 2539
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* List of Perfect Squares