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HBR2001 HBR2001
  • 22-11-2015
  • Mathematics
Answered

Rationalise the denominator and simplify 10 over 3 root 5

Verified Answer :

tclarke
tclarke tclarke
  • 22-11-2015

\(\frac{10}{3 \sqrt{5} }\) x \(\frac{ 3\sqrt{5} }{3 \sqrt{5} }\)
would be \(\frac{30\sqrt{5} }{9 \sqrt{25} }\).
Root 25 is 5, so 9*5 = 45
so the answer is \(\frac{30\sqrt{5} }{45 }\).


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Panoyin
Panoyin Panoyin
  • 22-11-2015

\(\frac{10}{3\sqrt{5}} = \frac{10\sqrt{5}}{3\sqrt{5}\sqrt{5}} = \frac{10\sqrt{5}}{3\sqrt{5 * 5}} = \frac{10\sqrt{5}}{3\sqrt{25}} = \frac{10\sqrt{5}}{3(5)} = \frac{10\sqrt{5}}{15} = \frac{2\sqrt{5}}{3}\)

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