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