91Ó°ÊÓ

Use a calculator to give decimal approximations rounded to one, two, and three places. $$\sqrt{260}$$

Estimate the given square root between two consecutive integers without using a calculator, then use a calculator to find the square root rounded to two decimal places to confirm your estimate. $$\sqrt{115}$$

Estimate the given square root between two consecutive integers without using a calculator, then use a calculator to find the square root rounded to two decimal places to confirm your estimate. $$\sqrt{59}$$

Estimate the given square root between two consecutive integers without using a calculator, then use a calculator to find the square root rounded to two decimal places to confirm your estimate. $$\sqrt{318}$$

Estimate the given square root between two consecutive integers without using a calculator, then use a calculator to find the square root rounded to two decimal places to confirm your estimate. $$\sqrt{872}$$

Determining whether a number is a perfect square is not as hard as it might at first seem. For instance, suppose we wanted to know whether the number 648 is a perfect square. Do you see why the square root of 648 must be between 20 and \(30 ?\) Can you think of an easy way to check whether 648 can possibly be a perfect square? [Hint: Think about the possible final digit a perfect square can have.] Is 648 a perfect square?

Use a calculator to find \(\sqrt{80} .\) Then simplify \(\sqrt{80}\) and again use the calculator to compute the value of the simplified form. Are the results the same? Should they be?

The period of a pendulum is the time it takes for the pendulum to sweep out one complete arc. The formula (in seconds) for the period \(T\) of a pendulum of length \(L\) feet is $$T=2 \pi \sqrt{\frac{L}{32}}$$ To the nearest tenth, find the period of a pendulum of length 2 feet.