Simplify Square Root of 4496

Here we will show you step-by-step how to simplify the square root of 4496. The square root of 4496 can be written as follows:


	√	4496

The √ symbol is called the radical sign. To simplify the square root of 4496 means to get the simplest radical form of √4496.

Step 1: List Factors
List the factors of 4496 like so:

1, 2, 4, 8, 16, 281, 562, 1124, 2248, 4496

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

1, 4, 16

Step 3: Divide
Divide 4496 by the largest perfect square you found in the previous step:

4496 / 16 = 281

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

√16 = 4

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 4496 in its simplest form:


4	√	281

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Decimal Form
Square Root of 4496 in Decimal form rounded to nearest 5 decimals:

67.05222

Exponent Form
Square Root of 4496 written with Exponent instead of Radical:

4496^½ = 4 x 281^½

Simplify Square Root of 4497
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* List of Perfect Squares