Simplify Square Root of 4257

Here we will show you step-by-step how to simplify the square root of 4257. The square root of 4257 can be written as follows:


	√	4257

The √ symbol is called the radical sign. To simplify the square root of 4257 means to get the simplest radical form of √4257.

Step 1: List Factors
List the factors of 4257 like so:

1, 3, 9, 11, 33, 43, 99, 129, 387, 473, 1419, 4257

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

1, 9

Step 3: Divide
Divide 4257 by the largest perfect square you found in the previous step:

4257 / 9 = 473

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 4257 in its simplest form:


3	√	473

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Decimal Form
Square Root of 4257 in Decimal form rounded to nearest 5 decimals:

65.24569

Exponent Form
Square Root of 4257 written with Exponent instead of Radical:

4257^½ = 3 x 473^½

Simplify Square Root of 4258
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* List of Perfect Squares