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AleksandrR [38]
3 years ago
11

Which of the following is equivalent to

Mathematics
2 answers:
mr_godi [17]3 years ago
8 0

Answer:

C

Step-by-step explanation:

Using the rules of radicals

\sqrt{a} × \sqrt{b} ⇔ \sqrt{ab} and

\sqrt{a} × \sqrt{a} = a

Given

\frac{\sqrt{2a} }{\sqrt{3} }

Multiply the numerator/ denominator by \sqrt{3}

= \frac{\sqrt{2a} }{\sqrt{3} } × \frac{\sqrt{3} }{\sqrt{3} }

= \frac{\sqrt{2a(3)} }{3} = \frac{\sqrt{6a} }{3}

pav-90 [236]3 years ago
6 0

Answer:

C

Step-by-step explanation:

Multiply the numerator and denominator by sqrt 3 to rationalize the denominator.

\frac{\sqrt{2a}}{\sqrt{3}} * \frac{\sqrt{3} }{\sqrt{3} } = \frac{\sqrt{6a} }{3}

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