Given that `sqrt(5)=2.24`, then value of `'(3sqrt(5))/(2sqrt(5)-0.48)` is

Options

A. `0.168`
B. `1.68`
C. `16.8`
D. `168`

Answer

To solve the expression \(\frac{3\sqrt{5}}{2\sqrt{5} - 0.48}\) given that \(\sqrt{5} = 2.24\), we can follow these steps:

### Step 1: Substitute \(\sqrt{5}\) with 2.24
We start by substituting \(\sqrt{5}\) in the expression:

\[ \frac{3\sqrt{5}}{2\sqrt{5} - 0.48} = \frac{3 \times 2.24}{2 \times 2.24 - 0.48} \]

### Step 2: Calculate the numerator
Now, calculate the numerator:

\[ 3 \times 2.24 = 6.72 \]

### Step 3: Calculate the denominator
Next, calculate the denominator:

\[ 2 \times 2.24 = 4.48 \]
Now subtract 0.48 from 4.48:

\[ 4.48 - 0.48 = 4.00 \]

### Step 4: Form the fraction
Now we can form the fraction with the calculated numerator and denominator:

\[ \frac{6.72}{4.00} \]

### Step 5: Simplify the fraction
Now, simplify the fraction:

\[ \frac{6.72}{4.00} = 1.68 \]

### Final Answer
Thus, the value of \(\frac{3\sqrt{5}}{2\sqrt{5} - 0.48}\) is:

\[ \boxed{1.68} \]