wikiHow
Square Root Calculator
1. Find the perfect square factors: Determine if the number inside the radical has any perfect square factors, such as 4, 9, 16, etc.
2. Simplify the radical: Rewrite the radical with the perfect square factors outside the radical, and any remaining factors inside the radical.
3. Simplify the expression: If the radical can be simplified further, repeat steps 1 and 2 until the radical cannot be simplified any further.
Here's an example to help illustrate the process:
√200
Step 1: Find the perfect square factors of 200. 200 can be factored as 2 x 2 x 5 x 5 x 2, and 2 x 2 is a perfect square factor.
Step 2: Simplify the radical by writing the perfect square factor outside the radical, and the remaining factors inside the radical.
√200 = √(2 x 2 x 5 x 5 x 2) = √(2 x 2) x √(5 x 5 x 2) = 2√(5 x 5 x 2)
Step 3: Simplify the expression further if possible. In this case, the expression cannot be simplified further.
So the simplified form of √200 is 2√(5 x 5 x 2).
Alternatively, you can use an online square root calculator to quickly solve square roots by inputting the number inside the radical.
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