HBR2001 HBR2001
  • 22-11-2015
  • Mathematics
contestada

Rationalise the denominator and simplify 10 over 3 root 5

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tclarke
tclarke tclarke
  • 22-11-2015
[tex] \frac{10}{3 \sqrt{5} } [/tex] x [tex] \frac{ 3\sqrt{5} }{3 \sqrt{5} } [/tex]
would be [tex] \frac{30\sqrt{5} }{9 \sqrt{25} } [/tex].
Root 25 is 5, so 9*5 = 45
so the answer is [tex] \frac{30\sqrt{5} }{45 } [/tex].


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Panoyin
Panoyin Panoyin
  • 22-11-2015
[tex]\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}[/tex]
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