
Here we will show you step-by-step how to simplify the square root of 2368. The square root of 2368 can be written as follows:
√ | 2368 |
The √ symbol is called the radical sign. To simplify the square root of 2368 means to get the simplest radical form of √2368.
Step 1: List Factors
List the factors of 2368 like so:
1, 2, 4, 8, 16, 32, 37, 64, 74, 148, 296, 592, 1184, 2368
Step 2: Find Perfect Squares
Identify the perfect squares* from the list of factors above:
1, 4, 16, 64
Step 3: Divide
Divide 2368 by the largest perfect square you found in the previous step:
2368 / 64 = 37
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 2368 in its simplest form:
8 | √ | 37 |
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Decimal Form
Square Root of 2368 in Decimal form rounded to nearest 5 decimals:
48.6621
Exponent Form
Square Root of 2368 written with Exponent instead of Radical:
2368½ = 8 x 37½
Simplify Square Root of 2369
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* List of Perfect Squares
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