Write in ascending order:
`3 sqrt(5)` and `4 sqrt(3)`

Answer

To solve the problem of writing \(3\sqrt{5}\) and \(4\sqrt{3}\) in ascending order, we will first calculate the approximate values of both expressions.

### Step 1: Calculate \(3\sqrt{5}\)
To find \(3\sqrt{5}\), we first need to find the value of \(\sqrt{5}\).

\[ \sqrt{5} \approx 2.236 \]

Now, multiply this value by 3:

\[ 3\sqrt{5} \approx 3 \times 2.236 \approx 6.708 \]

### Step 2: Calculate \(4\sqrt{3}\)
Next, we calculate \(4\sqrt{3}\) by finding the value of \(\sqrt{3}\).

\[ \sqrt{3} \approx 1.732 \]

Now, multiply this value by 4:

\[ 4\sqrt{3} \approx 4 \times 1.732 \approx 6.928 \]

### Step 3: Compare the two values
Now we compare the two approximate values we calculated:

\[ 3\sqrt{5} \approx 6.708 \]
\[ 4\sqrt{3} \approx 6.928 \]

Since \(6.708 < 6.928\), we conclude that:

\[ 3\sqrt{5} < 4\sqrt{3} \]

### Final Answer
Thus, in ascending order, we have:

\[ 3\sqrt{5} < 4\sqrt{3} \]