Math  /  Numbers & Operations

QuestionЕрөнхий шинж чанартай, ялгаатай юмсын цуглуулгыг олонлог гэнэ. Тэгвэл дараах зүйлүүдээс аль нь зохиомол тоон олонлогт багтах вэ? 3,23,12,4,100,54,7,7-3,2 \sqrt{3}, 12,4,100,54,-7,7

Studdy Solution

STEP 1

Assumptions
1. We are given a set of numbers: 3,23,12,4,100,54,7,7-3, 2\sqrt{3}, 12, 4, 100, 54, -7, 7.
2. We need to determine which of these numbers belong to the set of imaginary numbers.
3. Imaginary numbers are numbers that can be expressed in the form bibi, where bb is a real number and ii is the imaginary unit with the property i2=1i^2 = -1.

STEP 2

Examine each number to determine if it can be expressed in the form bibi.
1. 3-3: This is a real number, not imaginary.
2. 232\sqrt{3}: This is a real number, not imaginary.
3. 1212: This is a real number, not imaginary.
4. 44: This is a real number, not imaginary.
5. 100100: This is a real number, not imaginary.
6. 5454: This is a real number, not imaginary.
7. 7-7: This is a real number, not imaginary.
8. 77: This is a real number, not imaginary.

STEP 3

Since none of the given numbers can be expressed in the form bibi, where bb is a real number and ii is the imaginary unit, none of these numbers belong to the set of imaginary numbers.

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