Here we will show you how to get the factors of square root of 96400 (factors of √96400). We define factors of square root of 96400 as any integer (whole number) or square root that you can evenly divide into square root of 96400. Furthermore, if you divide √96400 by a factor of √96400, it will result in another factor of √96400.

First, we will find all the square roots that we can evenly divide into square root of 96400. We do this by finding all the factors of 96400 and add a radical (√) to them like this:

**√1, √2, √4, √5, √8, √10, √16, √20, √25, √40, √50, √80, √100, √200, √241, √400, √482, √964, √1205, √1928, √2410, √3856, √4820, √6025, √9640, √12050, √19280, √24100, √48200, and √96400**

Next, we will find all the integers that we can evenly divide into square root of 96400. We do that by first identifying the perfect square roots from the list above:

√1, √4, √16, √25, √100, √400

Then, we take the square root of the perfect square roots to get the integers that we can evenly divide into square root of 96400.

**1, 2, 4, 5, 10, 20**

Factors of square root of 96400 are the two lists above combined. Thus, factors of square root of 96400 (square roots and integers) are as follows:

**1, 2, 4, 5, 10, 20, √1, √2, √4, √5, √8, √10, √16, √20, √25, √40, √50, √80, √100, √200, √241, √400, √482, √964, √1205, √1928, √2410, √3856, √4820, √6025, √9640, √12050, √19280, √24100, √48200, and √96400**

Like we said above, square root of 96400 divided by any of its factors, will result in another of its factors. Therefore, if you divide √96400 by any of the factors above, you will see that it results in one of the other factors.

What can you do with this information? For one, you can get square root of 96400 in its simplest form. Square root of 96400 simplified is the largest integer factor times the square root of 96400 divided by the largest perfect square root. Thus, here is the math to get square root of 96400 in its simplest radical form:

√96400

= 20 × (√96400 ÷ √400)

**= 20√241**

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**Factors of Square Root of 96401**

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