Math Problem Statement
Which of the following statements is true about the square root of 139?
A. The square root of 139 has a value of 19,321.
B. The square root of 139 has a value of 69.5.
C. The square root of 139 has a value between 10 and 11.
D. The square root of 139 has a value between 11 and 12.
Solution
To determine which statement is true, let’s approximate the square root of 139:
-
Estimating Square Roots:
- We know that and .
- Since 139 is between 121 and 144, the square root of 139 must lie between 11 and 12.
-
Confirming the Correct Option:
- This places between 11 and 12, making Option D the correct answer.
Correct Answer: D. The square root of 139 has a value between 11 and 12.
Would you like more details or have any questions about this?
Here are some related questions to deepen your understanding:
- How do we estimate square roots for numbers that aren’t perfect squares?
- What would the square root of a number slightly larger than 139 (like 140) be approximated as?
- How can you calculate a square root more precisely without a calculator?
- Why is closer to 12 than to 11?
- How can you tell if a number is a perfect square?
Tip: When estimating square roots, knowing the squares of numbers close to your target can help you quickly identify a range for the square root value.
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Square Roots
Estimation
Formulas
Estimating square roots by locating values between known squares
Theorems
Square Root Properties
Suitable Grade Level
Grades 6-8