36−−√+221−−−√

Question

Start Root 36 End Root plus Start Root 221 End Root

π+4–√
pi plus Start Root 4 End Root

0.643892553…+34
0.643892553 dot dot dot plus Start Fraction 3 over 4 End Fraction

0.6¯¯¯¯+910

Answer 1

Let's simplify each expression step by step.

1. \(\sqrt{36} + \sqrt{221}\)

   \(\sqrt{36} = 6\)
   \(\sqrt{221} \approx 14.87\) (since 14.87 * 14.87 ≈ 221)
   Thus,
   \[ \sqrt{36} + \sqrt{221} = 6 + 14.87 \approx 20.87 \]

2. \(\pi + \sqrt{4}\)

   \(\sqrt{4} = 2\)
   Therefore,
   \[ \pi + \sqrt{4} = \pi + 2 \approx 3.14 + 2 \approx 5.14 \]

3. \(0.643892553...\ + \frac{3}{4}\)

   Since \(\frac{3}{4} = 0.75\), we now add:
   \[ 0.643892553... + 0.75 \approx 1.393892553... \]

4. \(0.6\overline{6} + 9\) (where \(0.6\overline{6} = \frac{2}{3}\))

   First, recognize \(0.6\overline{6}\) is equal to \(\frac{2}{3}\). So we have:
   \[ \frac{2}{3} + 9 = 9 + 0.666... \approx 9.666... \]

So, to summarize:

1. \(\sqrt{36} + \sqrt{221} \approx 20.87\)
2. \(\pi + \sqrt{4} \approx 5.14\)
3. \(0.643892553... + \frac{3}{4} \approx 1.393892553...\)
4. \(0.6\overline{6} + 9 \approx 9.666...\)