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Ilya [14]
3 years ago
8

What is the simplified form of the following expression 2 sqrt 27 + sqrt 12 -3 sqrt 3-2 sqrt 12

Mathematics
1 answer:
Dmitrij [34]3 years ago
3 0

Answer:

√3

Step-by-step explanation:

2√27 + √12 − 3√3 − 2√12

2√27 − √12 − 3√3

2√(9×3) − √(4×3) − 3√3

2×3√3 − 2√3 − 3√3

6√3 − 2√3 − 3√3

√3

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<h3>Explanation:</h3>

GCF: the greatest common factor of numerator and denominator is a factor that can be removed to reduce the fraction.

  <em>Example</em>

The numerator and denominator of 6/8 have GCF of 2:

  6/8 = (2·3)/(2·4)

The fraction can be reduced by canceling those factors.

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LCM: the least common multiple of the denominators is suitable as a common denominator. Addition and subtraction are easily performed on the numerators when the denominator is common.

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The fractions 2/3 and 1/5 can be added using a common denominator of LCM(3, 5) = 15.

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3 years ago
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Inga [223]

If <em>x</em> = 4.338338338…, then

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Step-by-step explanation:

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