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iren [92.7K]
3 years ago
13

PLEASE AND THANK YOU CONFUSED ON THIS

Mathematics
1 answer:
ICE Princess25 [194]3 years ago
5 0

After staring at this for a few seconds, I think the equation

-5\sqrt{10}\cdot\sqrt{15}=[1]\sqrt{[2]}

is asking you to simplify the left hand side so that it has a form matching the right hand side, and [1] and [2] are placeholders. My guess is that they're supposed to be integers.

Notice that

\sqrt{10}=\sqrt{5\cdot2}=\sqrt5\cdot\sqrt2

\sqrt{15}=\sqrt{5\cdot3}=\sqrt5\cdot\sqrt3

\implies\sqrt{10}\cdot\sqrt{15}=(\sqrt5)^2\cdot\sqrt2\cdot\sqrt3=5\sqrt{2\cdot3}=5\sqrt6

Then multiplying by -5, we have

-5\sqrt{10}\cdot\sqrt{15}=-25\sqrt6

so I believe [1] = -25, and [2] = 6.

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