Question

find the distance between the pair of points $(-3,-4)$ and $(3,-3)$. if necessary, express the answer in simplified radical form and then round to two decimal places.
the distance between the given points is $sqrt{37}$ units.
(simplify your answer. type an exact answer, using radicals as needed.)
the distance between the given points is approximately $square$ units.
(type an integer or decimal rounded to two decimal places as needed.)

Explanation:

Step1: Calculate the approximate value of \(\sqrt{37}\)

We know that \(\sqrt{36}=6\) and \(\sqrt{49} = 7\). To find a more accurate value, we can use a calculator.
\(\sqrt{37}\approx6.08276253\)

Step2: Round the value to two decimal places

Look at the third decimal digit. In \(6.08276253\), the third decimal digit is \(2\). Since \(2<5\), we round down.
So \(6.08276253\approx6.08\)

Answer:

\(6.08\)