Simplify Square Root of 952

Here we will show you step-by-step how to simplify the square root of 952. The square root of 952 can be written as follows:


	√	952

The √ symbol is called the radical sign. To simplify the square root of 952 means to get the simplest radical form of √952.

Step 1: List Factors
List the factors of 952 like so:

1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

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

1, 4

Step 3: Divide
Divide 952 by the largest perfect square you found in the previous step:

952 / 4 = 238

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 952 in its simplest form:


2	√	238

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Decimal Form
Square Root of 952 in Decimal form rounded to nearest 5 decimals:

30.8545

Exponent Form
Square Root of 952 written with Exponent instead of Radical:

952^½ = 2 x 238^½

Simplify Square Root of 953
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* List of Perfect Squares