Question

Simplify - (5+2√3)(7+4√3)​

Answer 1

Answer:

(5+2√3)(7+4√3)=59+34√3

Explanation:

(5+2√3)(7+4√3)

=5(7+4√3)+2√3(7+4√3)

= 35+20√3+14√3+24

=59+34√3

•••

Answer 2

Answer: 59 + 34√3

Step-by-step explanation:

Given,

$(5+2\sqrt{3})\times(7+4\sqrt{3})\\\;\\=(5\times7)+(5\times4\sqrt{3})+(2\sqrt{3}\times7)+(2\sqrt{3}\times4\sqrt{3})\\\;\\=(35)+(20\sqrt{3})+(14\sqrt{3})+(8\times\sqrt{3}.\sqrt{3})\\\;\\=35+20\sqrt{3}+14\sqrt{3}+(8\times3)\\\;\\=35+34\sqrt{3}+24\\\;\\=59+34\sqrt{3}$