Question

1" title="\left(\sqrt{3}+4\right)\left(1+\sqrt{3}\right)" alt="\left(\sqrt{3}+4\right)\left(1+\sqrt{3}\right)" align="absmiddle" class="latex-formula">

Answer 1

Answer:

$\huge\boxed{\sf 7 + 5\sqrt{3} }$

Step-by-step explanation:

$(\sqrt{3} +4)(1+\sqrt{3})\\\\= \sqrt{3}(1+\sqrt{3} )+4(1+\sqrt{3})\\\\= \sqrt{3} + (\sqrt{3} )^2 + 4 + 4\sqrt{3} \\\\= \sqrt{3} + 3+4+4\sqrt{3} \\\\= 7 + \sqrt{3} + 4\sqrt{3} \\\\Take \ \sqrt{3} \ common\\\\= 7 + \sqrt{3} (1+4)\\\\= 7 + \sqrt{3}(5)\\\\= 7 + 5\sqrt{3} \\\\\rule[225]{225}{2}$

Hope this helped!

~AH1807