62−−√
is between which two integers on the number line?
Responses
31 & 32
31 & 32
7 & 8
7 & 8
8 & 9
8 & 9
61 & 63
8 & 9
To find out which two integers 62−−√ is between on the number line, we can first calculate the square root.
√62 ≈ 7.87
Since the square root of 62 is approximately 7.87, we know that 62−−√ is between two consecutive integers. The two integers on either side of 7.87 are 7 and 8.
Therefore, 62−−√ is between 7 and 8 on the number line. So the correct answer is:
7 & 8
To find the two integers between which 62−−√ lies on the number line, we can simplify the expression first.
The square root of 62 can be written as √62. However, since the square root of 62 is not a perfect square, we cannot simplify it further as a whole number. Therefore, we need to approximate it.
To approximate √62, we can use a calculator. Typing √62 into a calculator will give us a decimal approximation.
After calculating, we get that √62 is approximately 7.874007874.
Since the square root of 62 is between 7 and 8, we can conclude that 62−−√ is between the integers 7 and 8 on the number line.