Simplify Square Root of 4832

Here we will show you step-by-step how to simplify the square root of 4832. The square root of 4832 can be written as follows:


	√	4832

The √ symbol is called the radical sign. To simplify the square root of 4832 means to get the simplest radical form of √4832.

Step 1: List Factors
List the factors of 4832 like so:

1, 2, 4, 8, 16, 32, 151, 302, 604, 1208, 2416, 4832

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

1, 4, 16

Step 3: Divide
Divide 4832 by the largest perfect square you found in the previous step:

4832 / 16 = 302

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 4832 in its simplest form:


4	√	302

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Decimal Form
Square Root of 4832 in Decimal form rounded to nearest 5 decimals:

69.51259

Exponent Form
Square Root of 4832 written with Exponent instead of Radical:

4832^½ = 4 x 302^½

Simplify Square Root of 4833
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* List of Perfect Squares