Simplify Square Root of 4005

Here we will show you step-by-step how to simplify the square root of 4005. The square root of 4005 can be written as follows:


	√	4005

The √ symbol is called the radical sign. To simplify the square root of 4005 means to get the simplest radical form of √4005.

Step 1: List Factors
List the factors of 4005 like so:

1, 3, 5, 9, 15, 45, 89, 267, 445, 801, 1335, 4005

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

1, 9

Step 3: Divide
Divide 4005 by the largest perfect square you found in the previous step:

4005 / 9 = 445

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

√9 = 3

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 4005 in its simplest form:


3	√	445

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Decimal Form
Square Root of 4005 in Decimal form rounded to nearest 5 decimals:

63.28507

Exponent Form
Square Root of 4005 written with Exponent instead of Radical:

4005^½ = 3 x 445^½

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* List of Perfect Squares