Question

Why don't you add the answer to this equation..?

Answer 1

\[7/2+\sqrt{5}\]
Answer: \[-14+7\sqrt{5}\]

Answer 2

this looks more like:\[\frac{7}{2+\sqrt{5}}\]

Answer 3

I assume the problem is
\[ \frac{7}{2+\sqrt{5} } \]

Answer 4

in which case you just multiply the numerator and the denominator by \((2-\sqrt{5})\)

Answer 5

that will get rid of the radicals in the denominator

Answer 6

I know how to solve it, I just wanna know if I should add -14+7?

Answer 7

no you cannot add \(7\sqrt{5}\) and \(-14\)

Answer 8

if it was:\[-14\sqrt{5}+7\sqrt{5}\]then you could add them

Answer 9

to get: \(-7\sqrt{5}\)

Answer 10

think of it like this, suppose you had:\[3+4\times7\]that is NOT the same as: \((3+4)\times7\)

Answer 11

whereas if you had:\[3\times7+4\times7\]then that DOES simplify to: \((3+4)\times7\)

Answer 12

yet another way to look at this is to replace the \(\sqrt{5}\) with \(x\) to get:\[-14+7x\ne-7x\]

Answer 13

since they are NOT "like" terms

Answer 14

hope that makes sense

Answer 15

you can combine them as a decimal (approximately)
-14+7*sqrt(5) is about 1.65247584

Answer 16

Ohh, okay. Yeah, it makes sense. Thanks!

Answer 17

yw :)