Question

Simplify completely the radical expression 39*sqrt(833) / sqrt(52).

A) (39sqrt(833)) / sqrt(52)
B) (13sqrt(277)) / sqrt(13)
C) (13sqrt(83))
D) (3sqrt(611))

Answer 1

To simplify the radical expression, we leave the numerator as it is. For the denominator, we simplify the square root of the number and rewrite the expression. The simplified form is (39*sqrt(833)) / (2*sqrt(13)).

Step-by-step explanation:

To simplify the radical expression 39*sqrt(833) / sqrt(52), we can first simplify the numerator and denominator separately.

For the numerator, we have 39*sqrt(833). This cannot be simplified further, so we leave it as is.

For the denominator, we have sqrt(52). We can simplify the square root of 52 to 2*sqrt(13) since 52 = 4 * 13.

Now, we can rewrite the expression as (39*sqrt(833)) / (2*sqrt(13)). Combining the numerator and denominator, we get 39*sqrt(833) / (2*sqrt(13)).

Therefore, the simplified form of the radical expression is (39*sqrt(833)) / (2*sqrt(13)) which corresponds to option A).