Simplify Square Root of 1953

Here we will show you step-by-step how to simplify the square root of 1953. The square root of 1953 can be written as follows:


	√	1953

The √ symbol is called the radical sign. To simplify the square root of 1953 means to get the simplest radical form of √1953.

Step 1: List Factors
List the factors of 1953 like so:

1, 3, 7, 9, 21, 31, 63, 93, 217, 279, 651, 1953

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

1, 9

Step 3: Divide
Divide 1953 by the largest perfect square you found in the previous step:

1953 / 9 = 217

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 1953 in its simplest form:


3	√	217

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Decimal Form
Square Root of 1953 in Decimal form rounded to nearest 5 decimals:

44.19276

Exponent Form
Square Root of 1953 written with Exponent instead of Radical:

1953^½ = 3 x 217^½

Simplify Square Root of 1954
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* List of Perfect Squares