Matematika Smp Bilangan Berpangkat Dan Bentuk Akar

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| By NurulHikmah333

NurulHikmah333

Community Contributor

Quizzes Created: 1 | Total Attempts: 5,054

Questions: 20 | Attempts: 5,088 | Updated: Mar 22, 2023

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Questions and Answers

1.

Nilai dari 4²+2²+2² adalah . . . .
- A.
  
  16
- B.
  
  24
- C.
  
  32
- D.
  
  64
Correct Answer
B. 24

Explanation
The correct answer is 24 because when you add 42, 22, and 22 together, the sum is 86.

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2.

Nilai dari 8². 2² . 2⁰adalah . . . .
- A.
  
  64
- B.
  
  256
- C.
  
  512
- D.
  
  128
Correct Answer
B. 256

Explanation
The value of 82 multiplied by 22 and then multiplied by 20 is equal to 256.

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3.

Bentuk ( 8^-2x 0,25)^-3sama nilainya dengan . . . .
- A.
  
  2²⁴
- B.
  
  2^-24
- C.
  
  2¹²
- D.
  
  2
Correct Answer
A. 2²⁴

Explanation
The expression (8-2 x 0.25)-3 simplifies to (8-0.5)-3, which further simplifies to 7.5-3. Finally, subtracting 3 from 7.5 gives us the value of 4.5. Therefore, the correct answer is 4.5.

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4.

Nilai dari
- A.
  
  81
- B.
  
  1 / 3
- C.
  
  3
- D.
  
  - 1/9
Correct Answer
B. 1 / 3

Explanation
The given expression can be simplified as follows: 81 divided by 3 equals 27, and 27 minus 1/9 equals 26 8/9. Therefore, the correct answer is 1/3.

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2
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5.

Nilai dari
- A.
  
  9
- B.
  
  27
- C.
  
  -9
- D.
  
  -27
Correct Answer
A. 9
6.

Nilai dari (9 : 3 )³adalah . . . .
- A.
  
  9
- B.
  
  27
- C.
  
  3
- D.
  
  6
Correct Answer
B. 27

Explanation
The given expression (9 : 3 )3 can be simplified by performing the division operation first, which gives us 3. Then, we multiply the result by 3, which gives us 9. Therefore, the correct answer is 27.

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7.

Nilai dari
- A.
  
  A
- B.
  
  B
- C.
  
  C
- D.
  
  D
Correct Answer
A. A
8.

Nilai dari
- A.
  
  4
- B.
  
  1
- C.
  
  2
- D.
  
  16
Correct Answer
B. 1

Explanation
The given set of numbers is 4, 1, 2, and 16. The correct answer is 1. This can be determined by observing that all the numbers in the set are divisible by 2 except for 1. Therefore, 1 is the only number that does not follow the pattern and is the correct answer.

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1
9.

Nilai dari √16 adalah . . . .
- A.
  
  4
- B.
  
  8
- C.
  
  -4
- D.
  
  -8
Correct Answer
A. 4

Explanation
The square root of 16 is 4 because when a number is squared, it gives the original number. In this case, 4 multiplied by 4 equals 16. Therefore, the square root of 16 is 4.

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10.

Nilai dari √108 adalah . . . .
- A.
  
  5√2
- B.
  
  3√6
- C.
  
  54
- D.
  
  6√3
Correct Answer
D. 6√3

Explanation
The correct answer is 6√3. To find the square root of 108, we can break it down into its prime factors: 2^2 * 3^3. Taking the square root of each factor, we get 2 * 3√3. Simplifying further, we get 6√3.

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11.

Nilai dari √75 + √48 adalah . . . .
- A.
  
  3√9
- B.
  
  9√3
- C.
  
  √123
- D.
  
  6√9
Correct Answer
B. 9√3

Explanation
The given expression is the sum of two square roots, √75 and √48. To simplify this expression, we can find the square roots of both 75 and 48. The square root of 75 is 5√3, and the square root of 48 is 4√3. Adding these two values together gives us 9√3, which is the simplified form of the expression. Therefore, the correct answer is 9√3.

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2
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12.

Nilai dari 2√8 + 4√8 adalah . . . .
- A.
  
  12√2
- B.
  
  8√8
- C.
  
  6√16
- D.
  
  8√8
Correct Answer
A. 12√2

Explanation
The given expression is 2√8 + 4√8. Both terms have the same radical, which is √8. Therefore, we can combine the coefficients of the radicals, which gives us 2 + 4 = 6. The radical remains the same, so the final answer is 6√8. However, we can simplify this further by recognizing that 8 can be written as 4 * 2. Taking the square root of 4 gives us 2. Therefore, the final simplified answer is 6 * 2√2, which is equal to 12√2.

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13.

Nilai dari √18 - 2√32 + 7√2 adalah . . . .
- A.
  
  -2√2
- B.
  
  2√2
- C.
  
  8√6
- D.
  
  8√2
Correct Answer
B. 2√2

Explanation
The given expression involves square roots of different numbers. By simplifying each term separately, we can find the value of the expression.

√18 can be simplified as √(9*2) = 3√2.
-2√32 can be simplified as -2√(16*2) = -8√2.
7√2 remains the same.

Combining all the terms, we get 3√2 - 8√2 + 7√2 = 2√2.

Therefore, the correct answer is 2√2.

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14.

Nilai dari 2√3 . 3√6 adalah . . . .
- A.
  
  18 √2
- B.
  
  5 √18
- C.
  
  6 √9
- D.
  
  6
Correct Answer
A. 18 √2

Explanation
The given expression can be simplified by multiplying the numbers outside the square roots and then multiplying the numbers inside the square roots. Thus, 2 multiplied by 3 is 6, and the square root of 3 multiplied by the square root of 6 is the square root of 18. Therefore, the simplified expression is 18 square root 2.

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15.

Nilai dari
- A.
  
  9 √3
- B.
  
  1/3 √3
- C.
  
  3√3
- D.
  
  3
Correct Answer
C. 3√3

Explanation
The given options represent different values with radicals. Out of the given options, 3√3 is the only one that includes a radical (√) and is multiplied by 3. Therefore, the correct answer is 3√3.

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16.

Nilai dari
- A.
  
  1/2 √5
- B.
  
  1/10 √5
- C.
  
  2√5
- D.
  
  3/2 √15
Correct Answer
B. 1/10 √5

Explanation
The given expression represents a series of fractions multiplied by the square root of 5. Among the options provided, the correct answer is 1/10 √5. This is because when we simplify this fraction, we get a smaller value compared to the other options.

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17.

Nilai dari
- A.
  
  √5-√3
- B.
  
  √10-√6
- C.
  
  √10 +√3
- D.
  
  √10 + √6
Correct Answer
D. √10 + √6

Explanation
The given expression is a combination of square roots. The terms inside the square roots cannot be simplified further, so we cannot combine them. Therefore, the correct answer is simply the expression itself, which is √10 + √6.

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18.

Nilai dari
- A.
  
  6 + 3√3
- B.
  
  6 +√3
- C.
  
  6 √3
- D.
  
  3√3
Correct Answer
A. 6 + 3√3

Explanation
The correct answer is 6 + 3√3. This is the correct answer because it is the only option that includes both the number 6 and the square root of 3. The other options either only include one of these elements or do not include them at all.

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19.

Nilai dari
- A.
  
  6 √3
- B.
  
  3 √6
- C.
  
  1/3 √6
- D.
  
  1/6 √3
Correct Answer
D. 1/6 √3

Explanation
The given expression can be simplified by multiplying the numerators and denominators. By multiplying 1/6 and √3, we get 1/6√3. Therefore, the correct answer is 1/6√3.

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20.

Nilai dari
- A.
  
  √3
- B.
  
  8√3
- C.
  
  4∛3
- D.
  
  4√3
Correct Answer
C. 4∛3

Explanation
The given expression is 4∛3. This means that we have the cube root (∛) of 3, which is multiplied by 4. Therefore, the answer is 4 times the cube root of 3.

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