Final answer:
To simplify square root of 10 over square root of 3 in simplest radical form, multiply the numerator and denominator by the square root of 3 and then simplify.
Step-by-step explanation:
To simplify square root of 10 over square root of 3 in simplest radical form, we can rationalize the denominator. Rationalizing the denominator involves multiplying both the numerator and denominator by the conjugate of the denominator. The conjugate of the square root of 3 is also the square root of 3.
So, multiplying the numerator and denominator by the square root of 3, we get:
(square root of 10 * square root of 3) / (square root of 3 * square root of 3)
Simplifying further:
square root of 30 / 3
Therefore, square root of 10 over square root of 3 in simplest radical form is the square root of 30 divided by 3.