Question

How would you get this solution? (Two answers)

Answer 1

Multiplying by the conjugate and I got 3, but apparently 1 is also an answer choice, what would you do to get that answer?

Answer 2

i did, and got 3 which is also a correct answer

Answer 3

yes 3 is right

Answer 4

yes but one is also right i just want to know how they did that

Answer 5

when you multiply times \(\large\color{black}{ 5+\sqrt{13} }\):

on top you get: \(\large\color{black}{ 4(5+\sqrt{13} ) }\)
on bottom you get: \(\large\color{black}{ (5-\sqrt{13} )(5+\sqrt{13} ) }\)
\(\large\color{black}{ 25-13 }\)
\(\large\color{black}{ 12 }\)

So you have: \(\large\color{black}{ \frac{\LARGE 4(5+\sqrt{13} ) }{\LARGE 12} }\)

which is same as \(\large\color{black}{ \frac{\LARGE 5+\sqrt{13} }{\LARGE 3} }\)

Answer 6

3 is right

Answer 7

what about #1?

Answer 8

answer key says its right too

Answer 9

2 answers, 1 and 3, i know how it gets to three but not 1

Answer 10

that's my question

Answer 11

in number 1 they multiply times \(\large\color{black}{ \sqrt{13} }\) on top and bottom

Answer 12

ohh...i see it now. thanks

Answer 13

yw