Answer :
Answer
[tex]=\frac{\sqrt{3}}{8}[/tex]Explanation
Given
[tex]\sqrt{\frac{3}{64}}[/tex]In order to simplify the radical, we can rewrite as follows:
[tex]\sqrt{\frac{3}{64}}=\frac{\sqrt{3}}{\sqrt{64}}[/tex]√3 cannot be further simplified as it is a prime number, however, √64 can be by finding its factors:
[tex]64=8\cdot8=8^2[/tex]Then, we can replace the factors in the root:
[tex]=\frac{\sqrt{3}}{\sqrt{8^2}}[/tex]Finally, we get:
[tex]=\frac{\sqrt{3}}{8}[/tex]