Video Transcript
Identify which arrow represents the
position of the square root of 24 on the number line.
We recall that squaring and square
rooting are inverse operations. Four squared is equal to 16 as four
multiplied by four is 16. This means that the square root of
16 is equal to four. This means that the radical, the
square root of 16, will be at the same place on the number line as four. Repeating this process for our
other integer value five, we have five squared is equal to 25, which means that the
square root of 25 is five.
In this question, we need to
identify whether arrow a or arrow b represents the square root of 24. As 24 lies between 16 and 25, the
square root of 24 must be greater than the square root of 16 and less than the
square root of 25. This means the square root of 24
lies between the integers four and five. 24 is closer to 25 than 16. Therefore, the square root of 24
will lie closer to five than it does to four. The correct answer is, therefore,
arrow b.
