Finding the Square Root of 18/5

To find the square root of a fractional number, we can follow the below steps:

Step 1: Simplify the fraction (if possible)
Step 2: Separate the numerator and the denominator
Step 3: Take the square root of the numerator and the denominator separately
Step 4: Divide the square root of the numerator by the square root of the denominator

Let's apply these steps to find the square root of 18/5.

Step 1: Simplify the Fraction
The fraction 18/5 is already in its simplest form. So, we can move to the next step.

Step 2: Separate the Numerator and the Denominator
We can separate the numerator and the denominator of the fraction 18/5 as follows:

√18 / √5

Step 3: Take the Square Root of the Numerator and the Denominator Separately
We can simplify the square root of 18 and 5 as follows:

√18 = √(9 x 2) = 3√2
√5 = √5

Step 4: Divide the Square Root of the Numerator by the Square Root of the Denominator
Now, we can divide the square root of the numerator by the square root of the denominator as follows:

√18 / √5 = 3√2 / √5

This is the simplified form of the square root of 18/5. We cannot simplify it any further.

Therefore, the square root of 18/5 is 3√2 / √5, which is approximately equal to 2.12 (rounded to 2 decimal places).