Respuesta :
Answer: The required product is [tex](10\sqrt{14}+8\sqrt{21}+30\sqrt{3}+36\sqrt{2}).[/tex]
Step-by-step explanation: We are given to find the following product :
[tex]P=(2\sqrt7+3\sqrt6)(5\sqrt2+4\sqrt3)~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]
To find the above product, we need to multiply each term of the first expression with each term of the second expression.
We will be using the following properties of radicals :
[tex]\sqrt a\times \sqrt b=\sqrt{ab}.[/tex]
So, from (i), we get
[tex]P\\\\=(2\sqrt7+3\sqrt6)(5\sqrt2+4\sqrt3)\\\\=2\sqrt7(5\sqrt2+4\sqrt3)+3\sqrt6(5\sqrt2+4\sqrt3)\\\\=10\sqrt{7\times2}+8\sqrt{7\times3}+15\sqrt{6\times2}+12\sqrt{6\times3}\\\\=10\sqrt{14}+8\sqrt{21}+15\sqrt{2^2\times3}+12\sqrt{3^2\times2}\\\\=10\sqrt{14}+8\sqrt{21}+15\times2\sqrt{3}+12\times 3\sqrt{2}\\\\=10\sqrt{14}+8\sqrt{21}+30\sqrt{3}+36\sqrt{2}.[/tex]
Thus, the required product is [tex](10\sqrt{14}+8\sqrt{21}+30\sqrt{3}+36\sqrt{2}).[/tex]
Answer:its D on edgen
Step-by-step explanation:
Your welcome don’t ask questions lol
