Question

Find the positive square root of each number. Locate the value or approximate value on the number line. a. √ 7 (not a perfect square root) 1 –Place the value on a number line by finding the two closest perfect squares: √ 4 and √ 9 . 2 –Note that the value of √ 7 falls between √ 4 and √ 9 , which are 2 and 3 on the number line. 3 –Note that since 7 is closer to 9 than it is 4 , the value of √ 7 is closer to the value of √ 9 than it is √ 4 . The value of √ 7 is closer to 3 than it is 2 .

Answer 1

For √7, the value is closer to √9, which is 3.

Step-by-step explanation:

To find the positive square root of a number, you can locate its approximate value on a number line.

Let's take the example of √7. We can find the two closest perfect squares to 7, which are 4 and 9.

Since 7 is closer to 9 than it is to 4, the value of √7 is closer to the value of √9, which is 3.

Therefore, the positive square root of 7, √7, is closer to 3 on the number line.