Simplify Square Root of 1305

Here we will show you step-by-step how to simplify the square root of 1305. The square root of 1305 can be written as follows:


	√	1305

The √ symbol is called the radical sign. To simplify the square root of 1305 means to get the simplest radical form of √1305.

Step 1: List Factors
List the factors of 1305 like so:

1, 3, 5, 9, 15, 29, 45, 87, 145, 261, 435, 1305

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

1, 9

Step 3: Divide
Divide 1305 by the largest perfect square you found in the previous step:

1305 / 9 = 145

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 1305 in its simplest form:


3	√	145

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Decimal Form
Square Root of 1305 in Decimal form rounded to nearest 5 decimals:

36.12478

Exponent Form
Square Root of 1305 written with Exponent instead of Radical:

1305^½ = 3 x 145^½

Simplify Square Root of 1306
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* List of Perfect Squares