Question

Write 9/11 in the form √a where a is an integer to be found.

Answer 1

To write 9/11 in the form √a, we need to simplify the fraction so that it has a square root in the numerator or the denominator. We can do this by multiplying the numerator and denominator by √11:

9/11 × (√11/√11) = (9√11)/(11√11) = (√(9 × 11))/(√(11 × 11)) = √99

Therefore, 9/11 can be written in the form √99, where a = 99.