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