What is the quotient of the following expression state to answering simplest radical form ritalization the denominator if necessary radical of 36/400

Answer 1

To simplify the expression \(\frac{\sqrt{36}}{\sqrt{400}}\), we can follow these steps:

1. Find the square roots:

   • \(\sqrt{36} = 6\)
   • \(\sqrt{400} = 20\)

2. Express the quotient: \[ \frac{\sqrt{36}}{\sqrt{400}} = \frac{6}{20} \]

3. Simplify the fraction: \[ \frac{6}{20} = \frac{3}{10} \quad \text{(dividing numerator and denominator by 2)} \]

Since the denominator \(10\) is not a radical, no further rationalization is necessary.

Thus, the final answer in simplest form is: \[ \frac{3}{10} \]