Determine the two numbers between which square root 2 lies.
A.
1.3 and 1.4
B.
1.5 and 1.6
C.
1.2 and 1.3
D.
1.4 and 1.5
The square root of 2 is approximately 1.414. Therefore, it lies between 1.4 and 1.5. So, the answer is D. 1.4 and 1.5.
To determine the two numbers between which the square root of 2 lies, we can calculate the square root of 2.
Using a calculator, the square root of 2 is approximately 1.41421356.
Comparing this value to the given options:
A. 1.3 and 1.4: The square root of 2 is greater than 1.4, so this option is incorrect.
B. 1.5 and 1.6: The square root of 2 is less than 1.5, so this option is incorrect.
C. 1.2 and 1.3: The square root of 2 is greater than 1.3, so this option is also incorrect.
D. 1.4 and 1.5: The square root of 2 falls between 1.4 and 1.5.
Therefore, the correct answer is option D: 1.4 and 1.5.
To determine the two numbers between which the square root of 2 lies, you can use estimation or perform the actual calculation.
Using estimation, you can start by approximating the square root of 2 to a decimal value. The square root of 2 is approximately equal to 1.41.
From the given options, we can see that option D contains the numbers 1.4 and 1.5. Since 1.41 is between 1.4 and 1.5, the correct answer is D.
Alternatively, you can calculate the square root of 2 using a calculator or other methods. The square root of 2 is approximately equal to 1.414, which falls between 1.4 and 1.5. Again, this confirms that the correct answer is D.