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Fudgin [204]
3 years ago
10

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

Mathematics
2 answers:
stiks02 [169]3 years ago
7 0

Answer:

B. 9 ^ 1/8x

Step-by-step explanation:

just did it and got it right

EastWind [94]3 years ago
6 0

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}


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