Question

Evaluate: [(a+b)^2 - 4ab(ab)^1/2]^1/2

Answer 1

\[(a+b)^2 - 4ab \sqrt{ab}\]

Answer 2

Are there given values for a and b?

Answer 3

No

Answer 4

Its 3/2 or 2

Answer 5

(a+b)^2 - 4a^(3/2) b^(3/2) ?

Answer 6

\([(a+b)^2 - 4ab(ab)^{1/2}]^{1/2} \) ????

Answer 7

@Jlastino is correct. I want the square root of that expression

Answer 8

\[\Large (a+b)^2-4ab\sqrt{ab}\]\[\Large (a+b)^2 -4\sqrt{a^3b^3}\]

Answer 9

UGLY answer ! lol

Answer 10

@experimentX It whole to the power 1/2 not -1/2

Answer 11

@Kreshnik I WANT THE SQUARE ROOT OF THAT EXPRESSION

Answer 12

isn't square root what I wrote ?

Answer 13

you know the answer???

Answer 14

I don't understand the question @_@

Answer 15

@experimentX I don't know the answer!

Answer 16

maybe in some ,,, series form??

Answer 17

The expansion is too long @_@

Answer 18

The expansion is ugly!

Answer 19

Anyone?

Answer 20

experiment x is correct

Answer 21

What do you mean? Rohangrr

Answer 22

I can't seem to figure out ... any other way.

Answer 23

Me too.That's why I posted it here.

Answer 24

looks like that is the simplest form it could possibly have ... cant think of anything except binomial expansion. BYW was it some part of some other original problem??

Answer 25

No,my teacher gave it to me this morning and asked if I could figure it out in <30 seconds! The only answer I could give was that for a not equal to b and a>1and b>1 it has no real roots.

Answer 26

lol if it were ab instead of (ab)^3/2 ... i've could have told in 5 seconds,

Answer 27

It would have been (a-b).

Answer 28

if you find out ... please let me know.