Answer: (-5x⁴)(√(4x + 7))
4x + 7
Explanation:
The question is asking us to make the denominator a rational function by finding a way to remove the square root without changing the value of the overall function.
We can do this by multiplying the denominator and numerator by the √(4x + 7), since multiplying a root term by that root term = the number being rooted (√x × √x = x).
- 5x⁴ × √(4x + 7) = (-5x⁴)(√(4x + 7))
√(4x + 7) √(4x + 7) 4x + 7