Without using a calculator, find a reasonable estimate of: \[1 \div \sqrt{2}\]
What can your thinking about this tell you about other divisions of the form \(1 \div \sqrt{n}\)?
Can you select \(n\) such that you can write down the value of the division calculation more easily?
- Can you select \(n\) such that your answer to the original problem is useful in finding the value of the division?
Without using a calculator, find a reasonable estimate of: \[\sqrt{50} \div 10\]
Compare this to the original problem: \(1 \div \sqrt{2}\).
What do you notice about your approach?
What do you notice about your answers?