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According to the property [tex]\frac{\sqrt{a}}{\sqrt{b}}=\sqrt{\frac{a}{b}}[/tex], which choice is equivalent to the quotient below?

[tex]\sqrt{\frac{50}{2}}[/tex]

A. 2
B. 5
C. -5
D. 25


Sagot :

To find the value of [tex]\(\sqrt{\frac{50}{2}}\)[/tex], we need to simplify the fraction inside the square root first.

1. Simplify the Fraction:
[tex]\[ \frac{50}{2} = 25 \][/tex]

2. Apply the Square Root:
[tex]\[ \sqrt{\frac{50}{2}} = \sqrt{25} \][/tex]

3. Find the Square Root of 25:
[tex]\[ \sqrt{25} = 5 \][/tex]

So, [tex]\(\sqrt{\frac{50}{2}} = 5\)[/tex].

Therefore, the correct choice is:
B. 5