Simplify Square Root of 1952

Here we will show you step-by-step how to simplify the square root of 1952. The square root of 1952 can be written as follows:


	√	1952

The √ symbol is called the radical sign. To simplify the square root of 1952 means to get the simplest radical form of √1952.

Step 1: List Factors
List the factors of 1952 like so:

1, 2, 4, 8, 16, 32, 61, 122, 244, 488, 976, 1952

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

1, 4, 16

Step 3: Divide
Divide 1952 by the largest perfect square you found in the previous step:

1952 / 16 = 122

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

√16 = 4

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 1952 in its simplest form:


4	√	122

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Decimal Form
Square Root of 1952 in Decimal form rounded to nearest 5 decimals:

44.18144

Exponent Form
Square Root of 1952 written with Exponent instead of Radical:

1952^½ = 4 x 122^½

Simplify Square Root of 1953
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* List of Perfect Squares