Answer:
Noah mistakenly added 25 and 7 in denominator instead of subtracting in the third step.
Explanation:
Noah had to rationalize the denominator of

According to him,
![\frac{32}{5-√(7) = \frac{32(5+√(7){(5-√(7))(5+√(7)]()
Solving the nominator and denominator

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.