I need help with 2 math questions?

Question

Simplify: 3 times the square root of -64a^85^5

Factor 121q^8-9 completely

If k=?, then the 2 roots of x^2+4x+k=0 are equal

For primes a and b, if a>b, then ab has ? unequal positive factors.

Answer 1

Easy. Russian vodka for both.

Answer 2

3√(-64(a^8)5^5) =

3√(8*8)√(a²a²a²a²)√(5²5²5)√(-1) =

3*8*a^4*5*5√(5)i =

600(a^4)i√(5)

121q^8 - 9 = (11q^4 - 3)(11q^4 + 3)

x² + 4x + k = 0 has roots at -2 + √(4 - k) and at -2 - √(4 - k).  Then, if k = 4 then the 2 roots of x² + 4x + k = 0 are equal.  

ab has 4 unequal positive factors, namely 1, ab, a and b.  

Hope this helps you!