simplify:

4root3x>7*Y>9*Z>3

To simplify the given expression, 4√(3x) > 7y > 9z > 3, we can start by dividing the entire inequality by 4 to isolate the square root:

√(3x) > (7y)/4 > (9z)/4 > 3/4

Next, we want to get rid of the square root by squaring both sides of the inequality:

(√(3x))^2 > ((7y)/4)^2 > ((9z)/4)^2 > (3/4)^2

This simplifies to:

3x > (49y^2)/16 > (81z^2)/16 > 9/16

By multiplying each term by 16 to get rid of the fractions, we have:

48x > 49y^2 > 81z^2 > 9

Therefore, the simplified expression is:

48x > 49y^2 > 81z^2 > 9