Simplify Square Root of 1812

Here we will show you step-by-step how to simplify the square root of 1812. The square root of 1812 can be written as follows:


	√	1812

The √ symbol is called the radical sign. To simplify the square root of 1812 means to get the simplest radical form of √1812.

Step 1: List Factors
List the factors of 1812 like so:

1, 2, 3, 4, 6, 12, 151, 302, 453, 604, 906, 1812

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

1, 4

Step 3: Divide
Divide 1812 by the largest perfect square you found in the previous step:

1812 / 4 = 453

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

√4 = 2

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 1812 in its simplest form:


2	√	453

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Decimal Form
Square Root of 1812 in Decimal form rounded to nearest 5 decimals:

42.56759

Exponent Form
Square Root of 1812 written with Exponent instead of Radical:

1812^½ = 2 x 453^½

Simplify Square Root of 1813
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* List of Perfect Squares