Simplify Square Root of 2565

Here we will show you step-by-step how to simplify the square root of 2565. The square root of 2565 can be written as follows:


	√	2565

The √ symbol is called the radical sign. To simplify the square root of 2565 means to get the simplest radical form of √2565.

Step 1: List Factors
List the factors of 2565 like so:

1, 3, 5, 9, 15, 19, 27, 45, 57, 95, 135, 171, 285, 513, 855, 2565

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

1, 9

Step 3: Divide
Divide 2565 by the largest perfect square you found in the previous step:

2565 / 9 = 285

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 2565 in its simplest form:


3	√	285

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Decimal Form
Square Root of 2565 in Decimal form rounded to nearest 5 decimals:

50.64583

Exponent Form
Square Root of 2565 written with Exponent instead of Radical:

2565^½ = 3 x 285^½

Simplify Square Root of 2566
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* List of Perfect Squares