`sqrt(3/16)` Simplify the expression.

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chrisyhsun | Student, College Freshman | (Level 1) Salutatorian

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The first thing to consider when simplifying this is whether the inner fraction, 3/16, can be simplified on its own. Since it can't in this case, we will simply approach the problem like two small problems - one for the numerator and one for the denominator.

For the numerator, all we have is square root of 3. This is already just a single element and 3 is a prime number, which means that this part of the expression is already in its simplest form.

Next, taking a look at the denominator, we see that we are trying to find the square root of 16. Either by using trial-and-error, prime factorization, or pure memorization, we find that the square root of 16 is 4.

Therefore, the final answer is (root 3) / 4.

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