Question

[10.04] What is the exact value of the expression 5the square root of 13. + the square root of 6. - 7the square root of 13.?

-2the square root of 13. + the square root of 6.

-2the square root of 6.

-2the square root of 13. + 2the square root of 6.

-the square root of 19.

Answer 1

\(\large \begin{array}{llll}
5\sqrt{13}+\sqrt{6}&-7\sqrt{13}\\
\quad \uparrow &\quad \uparrow \\
\end{array}\)
add like terms

Answer 2

then what

Answer 3

then append the \(\bf \sqrt{6}\) to that

Answer 4

you add them

Answer 5

yeap, when the radicand is the same, you just treat them like same-variables, and add them

Answer 6

ok then what do you do next

Answer 7

\(\large \begin{array}{llll}
5\sqrt{13}+\sqrt{6}&-7\sqrt{13}\\
\quad \uparrow &\quad \uparrow \\
\end{array}\implies
\begin{array}{cllll}
(5\sqrt{13}-7\sqrt{13})+\sqrt{6}\\
\uparrow \\
\square \sqrt{13}+\sqrt{6}
\end{array}\)

Answer 8

nothing else really, that'd simplify it

Answer 9

A or C what is the answer

Answer 10

well, add them what do you get?

Answer 11

add what

Answer 12

\(\large \begin{array}{llll}
5\sqrt{13}+\sqrt{6}&-7\sqrt{13}\\
\quad \uparrow &\quad \uparrow \\
\end{array}\)

the like terms

Answer 13

-2