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4 years ago

How do you simplify this equation

Mathematics

2 answers:

OLEGan [10]4 years ago

8 0

Hello!!

$= -2 \sqrt{24} -2 \sqrt{18} - \sqrt{2}$

$= -4 \sqrt{6} -2 * 3 \sqrt{2} - \sqrt{2}$

$= -7 \sqrt{2} -4 \sqrt{6}$

Therefore, the best selection appears to be option D.

Good luck :)

DerKrebs [107]4 years ago

6 0

D. -4√6 - 7√2

Let me know if you want steps

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1. ΔUJN ≅ ΔUGN by SAS rule of congruency

2. Side Angle Side Rule of congruency

3. JN ≅ GN, ∠JUN ≅ ∠NUG, ∠UNJ ≅ ∠UNG, NU ≅ NU

4. UN bisects angle ∠JUG and UN bisects segment JG

Step-by-step explanation:

The given figure consists of three triangles

1. ΔUJN, 2. ΔUGN, and 3. ΔUJG

Whereby segment UN is perpendicular to segment JG, we have;

ΔUJN and ΔUGN are right triangles

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Therefore, we have;

1. ΔUJN ≅ ΔUGN by SAS rule of congruency

2. Side Angle Side Rule of congruency

3. JN ≅ GN, ∠JUN ≅ ∠NUG, ∠UNJ ≅ ∠UNG, NU ≅ NU

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Read 2 more answers