Question

सरल करो:(3+√3)(3-√3)


​

Answer 1

Answer:

$(3 + \sqrt{3} )(3 - \sqrt{3} ) = 9 - 3 \sqrt{3} + 3 \sqrt{3} - 3 = 9 - 3 = 6$

Answer 2

Answer:

$\boxed{\huge{\sf 6}}$

Step-by-step explanation:

Method - 1:

$\sf Simplify \: the \: following: \\ \sf \implies (3 + \sqrt{3} )(3 - \sqrt{3} ) \\ \\ \sf \implies 3(3 - \sqrt{3} ) + \sqrt{3} (3 - \sqrt{3} ) \\ \\ \sf \implies (3)(3) - (3)( \sqrt{3} ) + ( \sqrt{3} )(3) - ( \sqrt{3} )( \sqrt{3} ) \\ \\ \sf \implies 9 - 3 \sqrt{3} + 3 \sqrt{3} - 3 \\ \\ \sf \implies 9 - 3 \\ \\ \sf \implies 6$

Method - 2:

By using algebraic expressions, i.e.

(a + b)(a - b) = a² - b²

$\sf \implies (3 + \sqrt{3} )(3 - \sqrt{3} ) \\ \\ \sf \implies (3)^2 - (\sqrt{3})^2 \\ \\ \sf \implies 9 - 3 \\ \\ \sf \implies 6$