Answer: Fourth option is correct.
Step-by-step explanation:
Since we have given that
1) we have
[tex]4x^2=35\\\\x^2=\dfrac{35}{4}\\\\x^2=8.75\\\\x=\sqrt{8.75}\\\\x=2.95[/tex]
2) we have
[tex]x^3=64\\\\x=\sqrt[3]{64}\\\\ x=4[/tex]
3) We have
[tex]x^3=125\\\\x=\sqrt[3]{125}\\\\ x=5[/tex]
4) We have
[tex]x^2=38\\\\x=\sqrt{38}\\\\x=6.16[/tex]
So, we can say that x=6.16 is the greatest value of x.
Hence, Fourth option is correct.