Question

Given that g and h are both positive, which of the following is equivalent to the

expression √gh³27g¹h³?
A) gh√/g² - 27
B) ghg³-27g
C) g²h-3gh3√g
D) g²h-33/g

Answer 1

D) g²h-33/g

Explanation:

The expression √gh³27g¹h³ can be simplified as follows:

√gh³27g¹h³ = √(gh)³(27g)¹(h³) = (gh)³/27gh = gh²/27g = g²h/27g

Option D is the equivalent to the original expression: g²h-33/g