what is the answer to 3\/24 - 2\/96? * \/ means square root?

Answer 1

V24 = V4 times V6 = 2 times V6; 3 times this is 6 V6

V96 = V16 times V6 = 4 times V6; 2 times this is 8 V6

So 6V6 - 8V6 = -2V6

Answer 2

Defining 3V24 is equal to 3 x sqrt(24).
By knowing that 96/4 = 24, sqrt(96) = sqrt(24x4).
Therefore, sqrt(24x4) = sqrt(4) x sqrt(24) = 2sqrt(24).
Now, use U-subtitution or "A x sqrt(x) + B x sqrt(x) = (A+B)[sqrt(x)]".

Let U= sqrt(24) ;
3sqrt(24) - 2sqrt(96) = 3U - 2x2sqrt(24) = 3U - 4U = -1U.
-1U = -1[sqrt(24)].

A[sqrt(x)] + B[sqrt(x)] = (A+B)[sqrt(x)].
3sqrt(24) - 2sqrt(96) =
3sqrt(24) - 2 x [2 x sqrt(24)] =
3sqrt(24) - 4sqrt(24) =
(3-4)[sqrt(24)] =
-1[sqrt(24)].

sqrt(24) = sqrt(6 x 4) = 2sqrt(6)
-1[sqrt(24)] = -2[sqrt(6)]
sqrt(6) is approximately 2.45.
-2[sqrt(6)] is approximately -4.9.

Answer 3

3√4*6-2√16*6
3*2√6-2*4√6
6√6-8√6
-2√6

Answer 4

3sqrt(24) - 2sqrt(96)
3sqrt(4 * 6) - 2sqrt(16 * 6)
6sqrt(6) - 8sqrt(6)

since both of these have the same sqrt value

(6 - 8)sqrt(6) = -2sqrt(6)

ANS : -2sqrt(6)

Answer 5

-6.913459

EDIT: I can solve it so it's not in decimal format... working on that right now!
(2)3V3 - (4)2V6

Answer 6

V96=V(4x24)=V4V24=2V24 so 3V24-2V96=3V24-4V24= -V24= -2V6.

Answer 7

'log' both sides log 3V24=log2V96

maybe...I'm not really sure

Answer 8

-2V6