The answer in simplified radical form is 13 - 3√3. The correct answer is not in the option provided.
The Breakdown
To evaluate the expression 3 + √x + 7 - √3x when x = 9, we substitute x = 9 into the expression:
3 + √9 + 7 - √3(9)
Simplifying further:
3 + 3 + 7 - 3√3
Combining like terms:
13 - 3√3
Therefore, when x = 9, the expression 3 + √x + 7 - √3x simplifies to 13 - 3√3.
The answer in simplified radical form is 13 - 3√3.
What is a Radical Form?
Radical form refers to expressing a number or expression using radicals, which are symbols such as √ (square root), ³√ (cube root), ⁴√ (fourth root), and so on.
Radical form is used to represent numbers that cannot be expressed as simple fractions or decimals. It allows us to represent numbers in terms of their roots, which can be useful in various mathematical calculations and simplifications.