Simplify Square Root of 1815

Here we will show you step-by-step how to simplify the square root of 1815. The square root of 1815 can be written as follows:


	√	1815

The √ symbol is called the radical sign. To simplify the square root of 1815 means to get the simplest radical form of √1815.

Step 1: List Factors
List the factors of 1815 like so:

1, 3, 5, 11, 15, 33, 55, 121, 165, 363, 605, 1815

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

1, 121

Step 3: Divide
Divide 1815 by the largest perfect square you found in the previous step:

1815 / 121 = 15

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

√121 = 11

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 1815 in its simplest form:


11	√	15

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Decimal Form
Square Root of 1815 in Decimal form rounded to nearest 5 decimals:

42.60282

Exponent Form
Square Root of 1815 written with Exponent instead of Radical:

1815^½ = 11 x 15^½

Simplify Square Root of 1816
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* List of Perfect Squares