Answer:
Noah mistakenly added 25 and 7 in denominator instead of subtracting in the third step.
Explanation:
Noah had to rationalize the denominator of
![(32)/(5-√(7))](https://img.qammunity.org/2022/formulas/mathematics/high-school/hsovanbnyf6rhq3gd1hfuryvspn0zqvn71.png)
According to him,
![\frac{32}{5-√(7) = \frac{32(5+√(7){(5-√(7))(5+√(7)]()
Solving the nominator and denominator
![= (160-32√(7))/(25+5√(7)-5√(7)-7)](https://img.qammunity.org/2022/formulas/mathematics/high-school/rhdi0eas4kpsce4b09nwyhvtzkuvnxd5gs.png)
Noah did correctly till this point.
In the next step he add 25 and 7 in the denominator, whereas, it should be subtracted.
Hence,
Noah mistakenly added 25 and 7 in denominator instead of subtracting in the third step.