Question

Simplify :-
$\sf \: (4 + \sqrt{3} )(4 - \sqrt{3)}$
​

Answer 1

Step-by-step explanation:

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

$16 - \sqrt[4]{3} + \sqrt[4]{3} - 3$

=

13

thanks

Answer 2

$\leadsto \sf \pink {(4 + \sqrt{3} )(4 - \sqrt{3)} }$

✍️Using the identity :-

$\sf \green {(a-b)(a+b)=a^2-b^2}$

$\leadsto \sf \pink {Here,~a=4~;~b= \sqrt{3} }$

$\leadsto \sf \pink {Substituting~and~solving:-}$

$\leadsto \sf \pink {(4)^2-( \sqrt{3)}^2 }$

$\leadsto \sf \pink {16-3}$

$\leadsto \sf \pink {13}$

$\sf \blue {\therefore 13~is~the~answer.}$