arianna1234567890
arianna1234567890 arianna1234567890
  • 08-04-2016
  • Mathematics
contestada

what is the product of (3+radical 5) and (3-radical 5)

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penfila11Pen
penfila11Pen penfila11Pen
  • 08-04-2016
(3 + [tex] \sqrt{5} [/tex]) × (3 - [tex] \sqrt{5} [/tex])
Take the special case
(a - b)×(a + b)=a² - b²

a = 3
b = [tex] \sqrt{5} [/tex]

3² - ([tex] \sqrt{5} [/tex])²     {(√)² = the number itself}
              9 - 5
                4 
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Panoyin
Panoyin Panoyin
  • 08-04-2016
(3 + √((5)) + (3 - √(5))
3(3 - √(5)) + √(5)(3 - √(5)))
3(3) - 3(√(5)) + √(5)(3) + √(5)(√(5))
9 - 3√(5) + 3√(5) - √(25)
9 - 5
4
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