Given:
There are given the expression:
[tex]\sqrt{\frac{3}{16}}\cdot\sqrt{\frac{3}{9}}[/tex]
Explanation:
According to the question:
We need to find the product of the given expression.
So,
To find the value, we need to apply the radical rules to the given expression:
So,
From the radical rule:
[tex]\sqrt{a}\sqrt{b}=\sqrt{ab}[/tex]
Then,
[tex]\sqrt{\frac{3}{16}}\cdot\sqrt{\frac{3}{9}}=\sqrt{\frac{3}{16}\cdot\frac{3}{9}}[/tex]
Then,
[tex]\sqrt{\frac{3}{16}\cdot\frac{3}{9}}=\sqrt{\frac{1}{16}}[/tex]
Then,
[tex]\sqrt{\frac{1}{16}}=\frac{1}{4}[/tex]
Final answer:
Hence, the value of the expression is shown below;
[tex]\frac{1}{4}[/tex]
