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gavmur [86]
3 years ago
13

Simplify √12m • √15m = [1] m √[2]

Mathematics
1 answer:
Elodia [21]3 years ago
8 0

Answer:

  6m√5

Step-by-step explanation:

  √(12m)·√(15m) = √(180m²) = √(5·(36m²)) = √5·√(6m)²

  = 6m√5 . . . . . . for m ≥ 0

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<img src="https://tex.z-dn.net/?f=5%20%2B%20%20%5Cfrac%7Bx%20-%202%7D%7B3%7D%20%20%3D%20%20%5Cfrac%7Bx%20%2B%203%7D%7B8%7D%20" i
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First multiply each term by 24(the common denominator found by 8×3) to remove the fractions and make things easier.
24(5) + 24( \frac{x - 2}{3} ) = 24( \frac{x + 3}{8} )
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120 + 8(x - 2) = 3(x + 3)
Then just continue to simplify and isolate the variable.
120 + 8x - 16 = 3x + 9
8x + 104 = 3x + 9
5x =  - 95
x =  - 19

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