Question

(7√7) / √3
a) 7√3
b) 7
c) 7√21
d) 7√2

Answer 1

To simplify the expression (7√7) / √3, you need to rationalize the expression. The answer is 49√3 / 3.

Step-by-step explanation:

To simplify the expression (7√7) / √3, we can first simplify the numerator, 7√7. The square root of 7 can be further simplified as √(7^2) = 7. So, 7√7 becomes 7 * 7 = 49. Now, we can simplify the denominator, √3. Since there is no simplification possible for √3, we leave it as it is. Hence, (7√7) / √3 simplifies to 49 / √3.

Since we cannot have a radical in the denominator, we need to rationalize the expression. To do this, we multiply the numerator and denominator by √3. This gives us (49 / √3) * (√3 / √3) = 49√3 / 3. Therefore, the answer is 49√3 / 3.