Simplify Square Root of 9152

Here we will show you step-by-step how to simplify the square root of 9152. The square root of 9152 can be written as follows:


	√	9152

The √ symbol is called the radical sign. To simplify the square root of 9152 means to get the simplest radical form of √9152.

Step 1: List Factors
List the factors of 9152 like so:

1, 2, 4, 8, 11, 13, 16, 22, 26, 32, 44, 52, 64, 88, 104, 143, 176, 208, 286, 352, 416, 572, 704, 832, 1144, 2288, 4576, 9152

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

1, 4, 16, 64

Step 3: Divide
Divide 9152 by the largest perfect square you found in the previous step:

9152 / 64 = 143

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

√64 = 8

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 9152 in its simplest form:


8	√	143

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Decimal Form
Square Root of 9152 in Decimal form rounded to nearest 5 decimals:

95.66609

Exponent Form
Square Root of 9152 written with Exponent instead of Radical:

9152^½ = 8 x 143^½

Simplify Square Root of 9153
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* List of Perfect Squares