Question

ASAP Please solve this (pic included)

Answer 1

@mathstudent55

Answer 2

can you tell me :
\[a(b+c)=?\]

Answer 3

\(\bf 2\sqrt{3}(\sqrt{2}+\sqrt{3}) \implies
(2\sqrt{3} \times \sqrt{2})+(2\sqrt{3} \times \sqrt{3})\)

Answer 4

@jdoe0001 which one is it

Answer 5

well, just multiply them, coefficient with coefficient, and same root with same root
\(\bf a\sqrt{n} \times b\sqrt{m} \implies (a\times b)\sqrt{n\times m}\)

Answer 6

so its D right? @jdoe0001

Answer 7

well, multiply them and you'll see what you'd get

Answer 8

let's try the 1st set
\(\bf (2\sqrt{3} \times \sqrt{2})\)
what does that give you?

Answer 9

2√6

Answer 10

4+√7*5+√7

Answer 11

can you teach me how to break that down and multiply @jdoe0001

Answer 12

well, \(\bf 2\sqrt{6}\) is correct,
what about the 2nd set
\(\bf (2\sqrt{3} \times \sqrt{3})\)

Answer 13

2√9 @jdoe0001

Answer 14

@mathstudent55

Answer 15

the distribution is correct, all terms are right
now on the simplification, the 2nd term is off
\(\bf -40\sqrt{5}\color{red}{-20\sqrt{15}}+2\sqrt{3}+3\)

Answer 16

that one comes from the simplification of
\(\bf
-5\sqrt{60}\\
\color{blue}{\text{factors of 60 are 2, 2, 3, 5, 1}\\\
2\times 2\times 3\times 5\times 1 =60\\
2^2\times 3\times 5\times 1 =60\\}
-5\sqrt{2^2\times 3\times 5}\\
-5(2)\sqrt{3\times 5} \implies -10\sqrt{15}\)

Answer 17

@jdoe0001