Answer: [tex]6\sqrt{2x}[/tex]
Step-by-step explanation:
1. You have the following expression given in the problem above:
[tex]4\sqrt{\frac{9x}{2} }[/tex]
2. Remove the perfects squares from the square root:
[tex]9=3^{2}[/tex]
Then:
[tex]4*3\sqrt{\frac{x}{2}}=12\sqrt{\frac{x}{2}}[/tex]
3. Now, rationalize the denominator, because it cotains an square root. Multiply the numerator and the denominator by [tex]\sqrt{2}[/tex] and simplify, as following:
[tex]12\sqrt{\frac{x}{2}}=\frac{12(\sqrt{x})(\sqrt{2})}{(\sqrt{2})(\sqrt{2})}=\frac{12\sqrt{2x}}{(\sqrt{2})^{2}}=\frac{12\sqrt{2x}}{2}=6\sqrt{2x}[/tex]
Answer:
B. 9 ^ 1/8x
Step-by-step explanation:
just did it and got it right
