Simplify Square Root of 5157

Here we will show you step-by-step how to simplify the square root of 5157. The square root of 5157 can be written as follows:


	√	5157

The √ symbol is called the radical sign. To simplify the square root of 5157 means to get the simplest radical form of √5157.

Step 1: List Factors
List the factors of 5157 like so:

1, 3, 9, 27, 191, 573, 1719, 5157

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

1, 9

Step 3: Divide
Divide 5157 by the largest perfect square you found in the previous step:

5157 / 9 = 573

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 5157 in its simplest form:


3	√	573

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Decimal Form
Square Root of 5157 in Decimal form rounded to nearest 5 decimals:

71.81226

Exponent Form
Square Root of 5157 written with Exponent instead of Radical:

5157^½ = 3 x 573^½

Simplify Square Root of 5158
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* List of Perfect Squares