Simplify Square Root of 1485

Here we will show you step-by-step how to simplify the square root of 1485. The square root of 1485 can be written as follows:


	√	1485

The √ symbol is called the radical sign. To simplify the square root of 1485 means to get the simplest radical form of √1485.

Step 1: List Factors
List the factors of 1485 like so:

1, 3, 5, 9, 11, 15, 27, 33, 45, 55, 99, 135, 165, 297, 495, 1485

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

1, 9

Step 3: Divide
Divide 1485 by the largest perfect square you found in the previous step:

1485 / 9 = 165

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 1485 in its simplest form:


3	√	165

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Decimal Form
Square Root of 1485 in Decimal form rounded to nearest 5 decimals:

38.5357

Exponent Form
Square Root of 1485 written with Exponent instead of Radical:

1485^½ = 3 x 165^½

Simplify Square Root of 1486
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* List of Perfect Squares