Simplify Square Root of 8957

Here we will show you step-by-step how to simplify the square root of 8957. The square root of 8957 can be written as follows:


	√	8957

The √ symbol is called the radical sign. To simplify the square root of 8957 means to get the simplest radical form of √8957.

Step 1: List Factors
List the factors of 8957 like so:

1, 13, 53, 169, 689, 8957

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

1, 169

Step 3: Divide
Divide 8957 by the largest perfect square you found in the previous step:

8957 / 169 = 53

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

√169 = 13

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 8957 in its simplest form:


13	√	53

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Decimal Form
Square Root of 8957 in Decimal form rounded to nearest 5 decimals:

94.64143

Exponent Form
Square Root of 8957 written with Exponent instead of Radical:

8957^½ = 13 x 53^½

Simplify Square Root of 8958
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* List of Perfect Squares