Hello from MrBillDoesMath!
Answer: 1
Discussion:
Let's use exponents to rewrite the original equation:
The cube root of 7 = 7 ^ (1/3)
The square root of 7 = 7 ^ (1/2)
The remaining root = 7 ^ (5/6).
Substituting these values in the original equation gives:
( 7^(1/3) * 7 (1/2) ) / 7 ^ (5/6) =
( 7 ^ (1/3 + 1/2) ) / 7 ^(5/6)
Now 1/3 + 1/2 = 2/6 + 3/6 = 5/6, so the numerator can be rewritten as
(7 ^ (5/6)) / ( 7 ^ (5/6)
But the numerator and denominator above are equal so the ratio is 1,
Thank you,
MrB