Question

write 5/3+sqrt2 in the form a and b are rational numbers

Answer 1

in the form a + b sqrt2 where a and b are rational numbers

Answer 2

multiply top/bottom by conjugate (3-sqrt2)

Answer 3

15-5sqrt2 for the top right?

Answer 4

correct

Answer 5

idk how to multiply the bottom

Answer 6

hint
\[(a+b)(a-b) = a^{2} -b^{2}\]

Answer 7

does srt 2 times srt 2 equal to 4?

Answer 8

because I did that the first time but my final answer was incorrect

Answer 9

no that would be 2*2 :)
\[\sqrt{2}*\sqrt{2} = \sqrt{4} = 2\]

Answer 10

oh, I made a silly mistake lol

Answer 11

that will mean 7 would be the bottom

Answer 12

haha yep

Answer 13

so that will mean 15/7-5sqrt2/7

Answer 14

simple as that...and you're done

Answer 15

sweet haha, i just confused srt 2 times srt 2 as equal to 4 lol