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?