Question

Simplify your answer as much as possible.

Muliply

(3-5*sqroot(2)) (2*sqroot(10) + 4)

Answer 1

\[(3-5\sqrt{2})(2\sqrt{10} + 4)\]

Answer 2

\[6\sqrt{10}-20(\sqrt{5}+\sqrt{2}) + 12\] right ?

Answer 3

Dude Im jus checking my answer

Answer 4

am I right

Answer 5

Or it could be simplify even more ?

Answer 6

\(\bf (3-5\sqrt{2})(2\sqrt{10}+4)\implies 3\cdot 2\sqrt{10}+3\cdot 4-5\sqrt{2}\cdot 2\sqrt{10}-5\sqrt{2}\cdot 4
\\ \quad \\
6\sqrt{10}+12-10\sqrt{2\cdot 10}-20\sqrt{2}\implies 6\sqrt{10}+12-10\sqrt{20}-20\sqrt{2}
\\ \quad \\
{\color{brown}{ 20\to 2\cdot 2\cdot 5\to 2^2\cdot 5}}
\\ \quad \\
6\sqrt{10}+12-10\sqrt{2^2\cdot 5}-20\sqrt{2}\implies 6\sqrt{10}+12-20\sqrt{ 5}-20\sqrt{2}\)

Answer 7

well i guess is right the only difference is the common factor

Answer 8

yeap

Answer 9

Thanks again!

Answer 10

yw