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| Math Central | Quandaries & Queries |
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Question from melissa, a student: how do you simplify: (square root of)200 |
Hi Melissa,
You need to look for a factor of 200 that is a square. Let me show you with a different problem.
Simplify √75.
I know that 75 = 3 × 25 and 25 is a square, 25 = 52. Thus
√75 = √(3 × 25) = √3 × √25 = √3 × 5 = 5 × √3
Can you see how to write 200 as a product of two numbers where one of them is a square?
Penny
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