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vampirchik [111]
3 years ago
5

Simplify. Rationalize the denominator. -3/5 + √3

Mathematics
1 answer:
Dahasolnce [82]3 years ago
3 0

Answer: -3-5\sqrt{3} / 5

Step-by-step explanation

To write \sqrt{3} as a fraction with a common denominator, multiply by 5/5.

-3/5 + \sqrt{3} * 5/5

Then combine fractions, so that the numeratiors over the common denominator.  

-3 + 5 \sqrt{3} /5

Simplify with factoring out.

Rewrite -3 as -1 (3). Next factor -1 out of 5 \sqrt{3}. Then facotr -1 out of -1(3) - (-5\sqrt{3}). After that move teh negative in front of the fraction.

Exact Form: - 3-5\sqrt{3} / 5

Decimal Form: 1.13

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Answer:

Option A.

Step-by-step explanation:

According to triangle inequality theorem, a triangle exists if the sum of two sides is greater that third side.

Apply this theorem on each combination.

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Case II: (2x+4)+18>6x

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Case III: 6x+18>2x+4

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Therefore, the correct option is A.

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