Question

Rationalize the denominator. – 5x4 ✓4x +7

Answer 1

Answer:          (-5x⁴)(√(4x + 7))  

                               4x + 7

Step-by-step 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

Answer 2

Answer:

Step-by-step explanation: