Simplify Square Root of 9248

Here we will show you step-by-step how to simplify the square root of 9248. The square root of 9248 can be written as follows:


	√	9248

The √ symbol is called the radical sign. To simplify the square root of 9248 means to get the simplest radical form of √9248.

Step 1: List Factors
List the factors of 9248 like so:

1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 289, 544, 578, 1156, 2312, 4624, 9248

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

1, 4, 16, 289, 1156, 4624

Step 3: Divide
Divide 9248 by the largest perfect square you found in the previous step:

9248 / 4624 = 2

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

√4624 = 68

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 9248 in its simplest form:


68	√	2

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Decimal Form
Square Root of 9248 in Decimal form rounded to nearest 5 decimals:

96.16652

Exponent Form
Square Root of 9248 written with Exponent instead of Radical:

9248^½ = 68 x 2^½

Simplify Square Root of 9249
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* List of Perfect Squares