Simplify Square Root of 5024

Here we will show you step-by-step how to simplify the square root of 5024. The square root of 5024 can be written as follows:


	√	5024

The √ symbol is called the radical sign. To simplify the square root of 5024 means to get the simplest radical form of √5024.

Step 1: List Factors
List the factors of 5024 like so:

1, 2, 4, 8, 16, 32, 157, 314, 628, 1256, 2512, 5024

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

1, 4, 16

Step 3: Divide
Divide 5024 by the largest perfect square you found in the previous step:

5024 / 16 = 314

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 5024 in its simplest form:


4	√	314

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Decimal Form
Square Root of 5024 in Decimal form rounded to nearest 5 decimals:

70.88018

Exponent Form
Square Root of 5024 written with Exponent instead of Radical:

5024^½ = 4 x 314^½

Simplify Square Root of 5025
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* List of Perfect Squares