Simplify Square Root of 9776

Here we will show you step-by-step how to simplify the square root of 9776. The square root of 9776 can be written as follows:


	√	9776

The √ symbol is called the radical sign. To simplify the square root of 9776 means to get the simplest radical form of √9776.

Step 1: List Factors
List the factors of 9776 like so:

1, 2, 4, 8, 13, 16, 26, 47, 52, 94, 104, 188, 208, 376, 611, 752, 1222, 2444, 4888, 9776

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

1, 4, 16

Step 3: Divide
Divide 9776 by the largest perfect square you found in the previous step:

9776 / 16 = 611

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

√16 = 4

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 9776 in its simplest form:


4	√	611

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Decimal Form
Square Root of 9776 in Decimal form rounded to nearest 5 decimals:

98.87366

Exponent Form
Square Root of 9776 written with Exponent instead of Radical:

9776^½ = 4 x 611^½

Simplify Square Root of 9777
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* List of Perfect Squares