Simplify Square Root of 9752

Here we will show you step-by-step how to simplify the square root of 9752. The square root of 9752 can be written as follows:


	√	9752

The √ symbol is called the radical sign. To simplify the square root of 9752 means to get the simplest radical form of √9752.

Step 1: List Factors
List the factors of 9752 like so:

1, 2, 4, 8, 23, 46, 53, 92, 106, 184, 212, 424, 1219, 2438, 4876, 9752

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

1, 4

Step 3: Divide
Divide 9752 by the largest perfect square you found in the previous step:

9752 / 4 = 2438

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 9752 in its simplest form:


2	√	2438

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Decimal Form
Square Root of 9752 in Decimal form rounded to nearest 5 decimals:

98.75222

Exponent Form
Square Root of 9752 written with Exponent instead of Radical:

9752^½ = 2 x 2438^½

Simplify Square Root of 9753
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* List of Perfect Squares