Question

Which is equivalent to 4 square root of 9 1/2x?

Answer 1

Answer:

B. 9 ^ 1/8x

Step-by-step explanation:

just did it and got it right

Answer 2

Answer: $6\sqrt{2x}$

Step-by-step explanation:

1. You have the following expression given in the problem above:

$4\sqrt{\frac{9x}{2} }$

2. Remove the perfects squares from the square root:

$9=3^{2}$

Then:

$4*3\sqrt{\frac{x}{2}}=12\sqrt{\frac{x}{2}}$

3. Now, rationalize the denominator, because it cotains an square root. Multiply the numerator and the denominator by $\sqrt{2}$ and simplify, as following:

$12\sqrt{\frac{x}{2}}=\frac{12(\sqrt{x})(\sqrt{2})}{(\sqrt{2})(\sqrt{2})}=\frac{12\sqrt{2x}}{(\sqrt{2})^{2}}=\frac{12\sqrt{2x}}{2}=6\sqrt{2x}$