Simplify Square Root of 3465

Here we will show you step-by-step how to simplify the square root of 3465. The square root of 3465 can be written as follows:


	√	3465

The √ symbol is called the radical sign. To simplify the square root of 3465 means to get the simplest radical form of √3465.

Step 1: List Factors
List the factors of 3465 like so:

1, 3, 5, 7, 9, 11, 15, 21, 33, 35, 45, 55, 63, 77, 99, 105, 165, 231, 315, 385, 495, 693, 1155, 3465

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

1, 9

Step 3: Divide
Divide 3465 by the largest perfect square you found in the previous step:

3465 / 9 = 385

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 3465 in its simplest form:


3	√	385

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Decimal Form
Square Root of 3465 in Decimal form rounded to nearest 5 decimals:

58.86425

Exponent Form
Square Root of 3465 written with Exponent instead of Radical:

3465^½ = 3 x 385^½

Simplify Square Root of 3466
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* List of Perfect Squares