
Here we will show you step-by-step how to simplify the square root of 664. The square root of 664 can be written as follows:
√ | 664 |
The √ symbol is called the radical sign. To simplify the square root of 664 means to get the simplest radical form of √664.
Step 1: List Factors
List the factors of 664 like so:
1, 2, 4, 8, 83, 166, 332, 664
Step 2: Find Perfect Squares
Identify the perfect squares* from the list of factors above:
1, 4
Step 3: Divide
Divide 664 by the largest perfect square you found in the previous step:
664 / 4 = 166
Step 4: Calculate
Calculate the square root of the largest perfect square:
√4 = 2
Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 664 in its simplest form:
2 | √ | 166 |
Simplify Square Root Calculator
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Decimal Form
Square Root of 664 in Decimal form rounded to nearest 5 decimals:
25.7682
Exponent Form
Square Root of 664 written with Exponent instead of Radical:
664½ = 2 x 166½
Simplify Square Root of 665
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* List of Perfect Squares
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