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IrinaVladis [17]
2 years ago
11

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

Mathematics
2 answers:
topjm [15]2 years ago
8 0
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.
lisabon 2012 [21]2 years ago
3 0
36\sqrt{2} - 24\sqrt{2}
=12 \sqrt{2}
=  \sqrt{144} * \sqrt{2}
\sqrt{144*2}
= \sqrt{288}

In short, N = 288.

Hope this helps !

Photon
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