Simplify Square Root of 2032

Here we will show you step-by-step how to simplify the square root of 2032. The square root of 2032 can be written as follows:


	√	2032

The √ symbol is called the radical sign. To simplify the square root of 2032 means to get the simplest radical form of √2032.

Step 1: List Factors
List the factors of 2032 like so:

1, 2, 4, 8, 16, 127, 254, 508, 1016, 2032

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

1, 4, 16

Step 3: Divide
Divide 2032 by the largest perfect square you found in the previous step:

2032 / 16 = 127

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 2032 in its simplest form:


4	√	127

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Decimal Form
Square Root of 2032 in Decimal form rounded to nearest 5 decimals:

45.07771

Exponent Form
Square Root of 2032 written with Exponent instead of Radical:

2032^½ = 4 x 127^½

Simplify Square Root of 2033
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* List of Perfect Squares