Simplify the radical expression below\sqrt{ (3)/(64) }

Question

Simplify the radical expression below
`\sqrt{ (3)/(64) }`

Answer 1

`=(√(3))/(8)`

Step-by-step explanation

Given

`\sqrt{(3)/(64)}`

In order to simplify the radical, we can rewrite as follows:

`\sqrt{(3)/(64)}=(√(3))/(√(64))`

√3 cannot be further simplified as it is a prime number, however, √64 can be by finding its factors:

`64=8\cdot8=8^2`

Then, we can replace the factors in the root:

`=(√(3))/(√(8^2))`

Finally, we get:

`=(√(3))/(8)`