Find the square root of 144? a. 10 b. 11 c. 12 d. 13 2. Which of the following is NOT a rational number? a. 3.213213213… b. 15 c. 1/3 d. all of these 3. What is the estimated value of 50 to the nearest hundredth? a. 7.07 b. 7.08 c. 7.09 d. 7.10 4. Between which two consecutive integers does √180 lie? a. 13 and 14 b. 12 and 13 c. 13 and 14 d. 15 and 16 5. √ is classified as a. Rational b. Irrational c. Real d. none of these 6. Jose wrote four irrational numbers on the board and asked Raymond to choose the number closest to 4. Which irrational number should Raymond choose? a. √2 b. 17 c. √12 d. 10 7. Which number is a rational number? a. 2.25 b. -8.78654684598… c. 199 d. 8 8. What are the two square roots of 121 and which is the Principal Root? a. Square Roots are +11 and -11. The principal root is +11. b. Square Roots are +11 and -11. The principal root is -11. c. Square Roots are +12 and -11. The Principal Root is -11. d. Square Roots are +12 and 11. The Principal Root is +12 9. What is 250 to the nearest hundredth? a. 15.79 b. 15.80 c. 15.81 10. Tell whether 25 is rational or irrational. b. Rationa
The Correct Answer and Explanation is:
Here are the correct answers along with explanations:
- Find the square root of 144? Correct answer: c. 12 Explanation: The square root of a number is a value that, when multiplied by itself, gives the original number. 144=12\sqrt{144} = 12.
- Which of the following is NOT a rational number? Correct answer: a. 3.213213213… Explanation: A rational number is any number that can be expressed as a fraction pq\frac{p}{q}, where pp and qq are integers and q≠0q \neq 0. Since 3.213213213… is a repeating decimal, it is irrational.
- What is the estimated value of 50\sqrt{50} to the nearest hundredth? Correct answer: b. 7.08 Explanation: The square root of 50 is approximately 7.071. Rounded to the nearest hundredth, it becomes 7.08.
- Between which two consecutive integers does 180\sqrt{180} lie? Correct answer: c. 13 and 14 Explanation: 180≈13.416\sqrt{180} \approx 13.416, which is between 13 and 14.
- \sqrt{} is classified as? Correct answer: c. Real Explanation: Square roots are real numbers unless they involve negative numbers inside the radical sign, in which case they become complex numbers.
- Which irrational number is closest to 4? Correct answer: c. 12\sqrt{12} Explanation: 12≈3.46\sqrt{12} \approx 3.46, which is closest to 4.
- Which number is a rational number? Correct answer: a. 2.25 Explanation: 2.25 can be expressed as 94\frac{9}{4}, making it a rational number.
- What are the two square roots of 121, and which is the Principal Root? Correct answer: a. Square Roots are +11 and -11. The principal root is +11. Explanation: The principal root is the positive root, so for 121\sqrt{121}, the principal root is +11.
- What is 250\sqrt{250} to the nearest hundredth? Correct answer: a. 15.79 Explanation: 250≈15.79\sqrt{250} \approx 15.79 when rounded.
- Is 25 rational or irrational? Correct answer: Rational Explanation: 25 is a whole number, and whole numbers are rational because they can be expressed as fractions like 251\frac{25}{1}.
