Question

simplify (2+√3) (5+√3)​

Answer 1

Answer:

$(2 + \sqrt{3} )(5 + \sqrt{3} ) \\ 2 \times 5 + 2 \sqrt{3} + 5 \sqrt{3} + \sqrt{3} \times \sqrt{3} \\ 10 + 7 \sqrt{3} + 3 \\ 13 + 7 \sqrt{3}$

Answer 2

$★\boxed{\huge{\blue{A}}\huge{\red{N}}\huge{\pink{S}}\huge{\green{W}}\huge{\purple{E}}\huge{R} } ★\\ \\{\blue{ (2 + \sqrt{3} )(5 + \sqrt{3} )}} \\ ={\red{ 2(5 + \sqrt{3} ) + \sqrt{3} (5 + \sqrt{3} ) }}\\= {\pink{ ( 10 + 2 \sqrt{3} ) + (5 \sqrt{3} + (\sqrt{3})^{2} )}} \\ ={\green{ ( 10 + 2 \sqrt{3} ) + (5 \sqrt{3} + 3)}} \\ = {\purple{(10 + 3 )+( 2 \sqrt{3} + 5 \sqrt{3} )}} \\ = 13 + (2 + 5 \sqrt{3} ) \\ = {\blue{13 + (7 \sqrt{3} )}}$