481,867 views
5 votes
5 votes
Which of the

following numbers
falls between 8 and 9
on the number line
square root of 75 or square root of 100?

Which of the following numbers falls between 8 and 9 on the number line square root-example-1
User Dylan Watson
by
2.5k points

1 Answer

15 votes
15 votes

Answer:
√(75)

================================================

Step-by-step explanation:

Square both 8 and 9 to get

  • 8^2 = 8*8 = 64
  • 9^2 = 9*9 = 81

Since 75 is between 64 and 81, this means
√(75) is between 8 and 9

Put another way, we can say this:


64 < 75 < 81\\\\√(64) < √(75) < √(81)\\\\√(8^2) < √(75) < √(9^2)\\\\8 < √(75) < 9\\\\

Or we could use a calculator to find that:


  • √(75) \approx 8.66

  • √(100) = 10

Which is another way to see why
√(75) is between 8 and 9.

Which of the following numbers falls between 8 and 9 on the number line square root-example-1
User Abdolence
by
3.0k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.