Question

Simplify (-3+√5)(-3-√5)​

Answer 1

$(3 + \sqrt{5)} (3 - \sqrt{5) = 4$

Answer 2

$\sf \huge \blue {Question:-}$

$\sf ✯ \: Simplify \: (-3+ \sqrt{5})(-3- \sqrt{5})$

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$\sf \huge \blue {Solution:-}$

$\sf (-3+√5)(-3-√5)$

$\sf [(-3)+ \sqrt{5}][(-3)- \sqrt{5}]$

⠀ ⠀⠀ ⠀ ⠀⠀ ⠀

$\sf \blue{By \: using \: identinty}$

$\sf (a+b)(a-b) = a² - b²$

$\sf ➝ \: [(-3)+ \sqrt{5}][(-3)- \sqrt{5}] = (-3)² - (\sqrt{5})²$

➝ 9 - 5

➝ 4