Question

simplify the expression
$(3 + \sqrt{3)} (3 - \sqrt{3)}$


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Answer 1

$</p><p>\huge{\mathcal{\underline{Answer}}}\\</p><p>(3+\sqrt{3})(3-\sqrt{3})\\</p><p>\text{Since }(a+b)(a-b)=a^2-b^2\\</p><p>=3^2-\sqrt{3}^2\\</p><p>=(9-3)=\huge\color{red}{\boxed{6}}$

Answer 2

$\mathfrak{\large{\underline{\underline{Answer:-}}}}$

= 6.

$\mathfrak{\large{\underline{\underline{Explanation:-}}}}$

For expressing the given question we have to know about identity :-

★ $\boxed{\sf{(x + y)(x - y)= {x}^{2} - { {y}^{2} } }}$

Now the given question was also in the form of given identity so,

$\implies$ $\bold{(3 + \sqrt{3} )(3 - \sqrt{3} )}$

here x = 3 ,y = √3

$\implies$ $\bold{( {3}^{2} ) - ( { \sqrt{3}) }^{2} }$

$\implies$ $\bold{9 - 3}$

$\implies$ $\bold{6 }$

hence, the value is 6.