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VARVARA [1.3K]
4 years ago
11

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

Mathematics
2 answers:
Lubov Fominskaja [6]4 years ago
5 0
(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
schepotkina [342]4 years ago
4 0
(3 + \sqrt{5}) × (3 - \sqrt{5})
Take the special case
(a - b)×(a + b)=a² - b²

a = 3
b = \sqrt{5}

3² - (\sqrt{5})²     {(√)² = the number itself}
              9 - 5
                4 
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