Question

5sqrt6+sqrt6

:D

Answer 1

\(\bf 5\sqrt{6}+\sqrt{6}\quad \textit{let us say }\sqrt{6}={\color{brown}{ a}}\quad so\quad 5{\color{brown}{ a}}+{\color{brown}{ a}}=?\)

Answer 2

sooo 5sqrt6+sqrt6?

Answer 3

@jdoe0001

Answer 4

ok.. so... what would you get for say 5a + a?

Answer 5

just 5sqrt6?

Answer 6

well.. lemme put it differently \(\bf 5\sqrt{6}+\sqrt{6}\quad \textit{let us say }\sqrt{6}={\color{brown}{ coconut}}\quad so\quad 5{\color{brown}{ coconut}}+{\color{brown}{ coconut}}=?\)

Answer 7

6

Answer 8

yeap
so \(\bf 5\sqrt{6}+\sqrt{6}\quad \textit{let us say }\sqrt{6}={\color{brown}{ coconut}}\quad so
\\ \quad \\
\quad 5{\color{brown}{ coconut}}+{\color{brown}{ coconut}}={\color{blue}{ 6}}{\color{brown}{ coconut}}
\\ \quad \\
thus\implies 5\sqrt{6}+\sqrt{6}\implies {\color{blue}{ 6}}\sqrt{6}\)

Answer 9

because the roots and their content, are equal
then the coefficients simply add up with it, keeping the root and content as is

Answer 10

okay i see

Answer 11

thank you!

Answer 12

yw