Question

solve it fast....
$(3 + \sqrt{3) (3 - \sqrt{3)} }$
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Answer 1

Step-by-step explanation:

3+√9-3√3

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Answer 2

Correct Question :-

$\rm{(3 + \sqrt{3} )(3 - \sqrt{3} )}$

Answer :-

• 6

Step by step explanation :-

How to solve :

• Here 3 + √3 and 3 - √3 they are alternate in sign then we use the algebraic identity to solve the expression. But we can use only that time when only sign will be different if the number will be different then we can't use the identity.

Identity :

• (a +b) (a - b) = a² - b²

Let,

⇒ 3 = a

⇒ √3 = b

Now,

$\rm:\longmapsto{(3 + \sqrt{3} )(3 - \sqrt{3}) = (3) {}^{2 } - ( \sqrt{3}) {}^{2} } \\ \\ \rm:\longmapsto{(3 + \sqrt{3})( 3 - \sqrt{3} ) = 9 - 3} \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \rm:\longmapsto{(3 + \sqrt{3})(3 - \sqrt{3}) = \boxed6 } \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:$

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