Simplify Square Root of 2492

Here we will show you step-by-step how to simplify the square root of 2492. The square root of 2492 can be written as follows:


	√	2492

The √ symbol is called the radical sign. To simplify the square root of 2492 means to get the simplest radical form of √2492.

Step 1: List Factors
List the factors of 2492 like so:

1, 2, 4, 7, 14, 28, 89, 178, 356, 623, 1246, 2492

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

1, 4

Step 3: Divide
Divide 2492 by the largest perfect square you found in the previous step:

2492 / 4 = 623

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 2492 in its simplest form:


2	√	623

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Decimal Form
Square Root of 2492 in Decimal form rounded to nearest 5 decimals:

49.91994

Exponent Form
Square Root of 2492 written with Exponent instead of Radical:

2492^½ = 2 x 623^½

Simplify Square Root of 2493
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* List of Perfect Squares