1.Which number is irrational?
Incorrect answer A. StartFraction 3 over 17 EndFraction
Incorrect answer B. StartRoot 25 EndRoot
Incorrect answer C. 0 point Modifying above 6 with bar
Correct answer D. StartRoot 33 EndRoot
2.What is StartRoot 16 EndRoot?
Incorrect answer A. 2
Correct answer B. 4
Incorrect answer C. 8
Incorrect answer D. 256
3.What two integers is StartRoot 70 EndRootbetween?
Incorrect answer A. 7 and 8
Correct answer B. 8 and 9
Incorrect answer C. 9 and 10
Incorrect answer D. 35 and 36
4.Which numbers are rational? Select all that apply.
Incorrect answer A. pi
Incorrect answer B. Start root 50 End root
Correct answer C. 2 point modifying above 3 with bar
Correct answer D. start root 144 end root
5.Which of the following is a possible measure of the area of a square rug whose dimensions are in whole feet?
Incorrect answer A. 18 square feet
Incorrect answer B. 24 square feet
Correct answer C. 36 square feet
Incorrect answer D. 48 square feet
6.Based on your answer to the previous question, what would the length of one side of the rug be?
Incorrect answer A. 4 feet
Correct answer B. 6 feet
Incorrect answer C. 8 feet
Incorrect answer D. 9 feet
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1. The irrational number is D. StartRoot 33 EndRoot.
2. StartRoot 16 EndRoot is B. 4.
3. StartRoot 70 EndRoot is between the integers 8 and 9.
4. The rational numbers are C. 2 (with a bar above 3) and D. StartRoot 144 EndRoot.
5. A possible measure for the area of a square rug with whole feet dimensions is C. 36 square feet.
6. Based on the previous answer, the length of one side of the rug would be B. 6 feet.
1. To determine which number is irrational, we need to understand the definition of an irrational number. An irrational number is a real number that cannot be expressed as a fraction or ratio of two integers.
Option A, 3/17, is a rational number because it can be expressed as a fraction.
Option B, √25, is equal to 5, which is a rational number.
Option C, 0.6 (recurring), is a rational number because it can be expressed as a fraction.
Option D, √33, is the correct answer because it cannot be expressed as a fraction or ratio of two integers. Therefore, √33 is an irrational number.
2. The question asks for the square root of 16. To find the answer, we can calculate the square root of the given number.
The square root of 16 is equal to 4.
Therefore, the correct answer is B, 4.
3. To determine which two integers the square root of 70 falls between, we need to find the closest integers by calculating their square roots.
The square root of 70 is between the square roots of 64 and 81.
The square root of 64 is 8, and the square root of 81 is 9.
Therefore, the correct answer is B, 8 and 9.
4. To identify which numbers are rational, we need to recall that a rational number is any number that can be expressed as a fraction or ratio of two integers.
Option A, pi, is an irrational number because it cannot be expressed as a fraction.
Option B, √50, is the correct answer because it can't be simplified into a fraction.
Option C, 2.3 (recurring), is a rational number because it can be expressed as a fraction.
Option D, √144 is equal to 12, which is a rational number.
Therefore, the correct answers are B and C.
5. To determine which of the given options is a possible measure of the area of a square rug with whole feet dimensions, we need to understand that the area of a square is calculated by multiplying the length of one side by itself.
Option A, 18 square feet, does not have a whole number square root, so it is not a possible measure for the area of a square rug with whole feet dimensions.
Option B, 24 square feet, also does not have a whole number square root, so it is not a possible measure.
Option C, 36 square feet, has a whole number square root of 6, so it is a possible measure for the area of a square rug with whole feet dimensions.
Therefore, the correct answer is C, 36 square feet.
6. Based on the previous question, where we determined that the area of the square rug is 36 square feet, we can calculate the length of one side of the rug by taking the square root of the given area.
The square root of 36 is 6.
Therefore, the correct answer is B, 6 feet.