Rationalize the denominator and simplify:
sqrt a/8 - sqrt a
To rationalize the denominator of this expression, we need to multiply both the numerator and the denominator by the conjugate of the denominator.
The conjugate of sqrt(a)/8 - sqrt(a) is sqrt(a)/8 + sqrt(a).
Therefore, multiplying the expression by sqrt(a)/8 + sqrt(a) gives us:
(sqrt(a)/(8 - sqrt(a)) * (sqrt(a)/(8 + sqrt(a))
= sqrt(a) * sqrt(a) / (64 - a)
= a / (64 - a)
So, the rationalized and simplified expression is a / (64 - a).
Hope this helps.