oswalser001 oswalser001
  • 23-02-2018
  • Mathematics
contestada

If 36 sqrt2 - 24 sqrt2 = sqrtN, what is N?

Respuesta :

SilverSister
SilverSister SilverSister
  • 23-02-2018
N = 288

First, both 36 sqrt 2 and 24 sqrt 2 have the common sqrt 2, which means you can directly subtract them.

36 sqrt 2 - 24 sqrt 2 = 12 sqrt 2
12 is outside of the square root means it was a perfect square, thus 12*12 = 144.

There's still a 2 left in the sqrt, and 144 * 2 = 288.
Answer Link
Photon
Photon Photon
  • 23-02-2018
[tex]36\sqrt{2} - 24\sqrt{2} [/tex]
[tex]=12 \sqrt{2} [/tex]
[tex]= \sqrt{144} * \sqrt{2} [/tex]
[tex] \sqrt{144*2} [/tex]
[tex]= \sqrt{288} [/tex]

In short, N = 288.

Hope this helps !

Photon
Answer Link

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