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tatuchka [14]
3 years ago
12

Please show work!!!!!!

Mathematics
2 answers:
Zina [86]3 years ago
8 0

Answer:

\frac{4\sqrt{5} }{5}

Step-by-step explanation:

Rationalise the denominator by multiplying both the numerator and denominator by \sqrt{30}, that is

\frac{4\sqrt{6} }{\sqrt{30} } × \frac{\sqrt{30} }{\sqrt{30} }

= \frac{4\sqrt{180} }{30}

= \frac{4\sqrt{36(5)} }{30}

= \frac{4(6)\sqrt{5} }{30}

= \frac{24\sqrt{5} }{30}

= \frac{4\sqrt{5} }{5}

likoan [24]3 years ago
5 0

Answer:

\frac{4\sqrt{5} }{5}

Step-by-step explanation:

\frac{4\sqrt{6} }{\sqrt{30} } =\frac{\sqrt{30} *4*\sqrt{6} } \sqrt{30} {\sqrt{30} } \\\\

\frac{4\sqrt{6*30} }{30} =\frac{4*\sqrt{180} }{30} =\frac{4*\sqrt{36*5} }{30} = \\\\\frac{4*6\sqrt{5} }{6*5} =\frac{4\sqrt{5} }{5}

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