Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Which of the following is an integer?\newlineChoices:\newline(A) 6\sqrt{6}\newline(B) Ο€\pi\newline(C) 2\sqrt{2}\newline(D) 66

Full solution

Q. Which of the following is an integer?\newlineChoices:\newline(A) 6\sqrt{6}\newline(B) Ο€\pi\newline(C) 2\sqrt{2}\newline(D) 66
  1. Evaluate choices for integers: We need to evaluate each choice to determine if it is an integer.
  2. Choice (A) - 6\sqrt{6}: Choice (A) is 6\sqrt{6}. The square root of 66 is not an integer because 66 is not a perfect square (the perfect squares closest to 66 are 44 and 99, which are the squares of 22 and 33, respectively).
  3. Choice (B) - Ο€\pi: Choice (B) is Ο€\pi (pi). Pi is a well-known mathematical constant that represents the ratio of the circumference of a circle to its diameter. Pi is an irrational number, not an integer.
  4. Choice (C) - 2\sqrt{2}: Choice (C) is 2\sqrt{2}. The square root of 22 is not an integer because 22 is not a perfect square (the perfect squares closest to 22 are 11 and 44, which are the squares of 11 and 22, respectively).
  5. Choice (D) - 66: Choice (D) is 66. The number 66 is an integer because it is a whole number that can be written without a fractional or decimal component.

More problems from Simplify radical expressions with root inside the root