Question

write a product of the form (a+√b)(a-√b) so that the answer, when simplified, is 59.

Answer 1

(8+sqrt(5))(8-sqrt(5))=64-5=59

Answer 2

thanks

Answer 3

do you want to know how i got that

Answer 4

sure
its so kind of u

Answer 5

(a+sqrt(b))(a-sqrt(b))=a^2-b correct?

Answer 6

we want a^2-b=59

Answer 7

so I added b on both sides

Answer 8

so we have a^2=59+b and I just chose b to make the right hand side a perfect sqare

Answer 9

I let b=5
a^2=59+5
a^2=64
a=8

Answer 10

you didn't have to chose b to be 5 though

Answer 11

you could let b be anything and then find a the same away I did above

Answer 12

any questions?