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MathPhys

Step-by-step explanation:

Perfect square numbers are:

1² = 1

2² = 4

3² = 9

4² = 16

5² = 25

6² = 36

7² = 49

8² = 64

9² = 81

10² = 100

15 is between 9 and 16, closer to 16.

So we know √15 is between 3 and 4, and closer to 4.

Similarly, √46 is between 6 and 7, and closer to 7.

And √55 is between 7 and 8, closer to 7.

So on and so forth.

Ver imagen MathPhys

The plot of the given irrational numbers on the number line has been attached below.

  • We want to draw the number line of the following;

√15, √46, √55, √60, √96, √14, √22, √75, √34, √57.

  • Now, on a number line, it is only integers that are marked. Thus, if we get a decimal solution from the values we are given, we will locate the point at the nearest integer on the line.

  • 1) √15 = 3.87; This value is closer to the integer 4 and so on the number line we mark a point close to 4.

  • 2) √46 = 6.78; This value is closer to the integer 7 and so on the number line we mark a point close to 7.

  • 3) √55 = 7.42 This value is around the middle of 7 and 8 but slightly less than the mid-point and so we mark a point close to the middle of the integers 7 and 8.

  • 4) √60 = 7.75; This value is closer to 8 and so we mark as appropriate close to the integer 8 on the number line.

  • 5) √96 = 9.80; This value is closer to 10 and so we mark as appropriate close to 10 on the number line.

  • 6) √14 = 3.74; This value is closer to the integer 4 and as such we mark as appropriate on the number line.

  • 7) √22 = 4.69; This value is close to the midpoint of 4 and 5 but slightly more than the midpoint and as such we mark as appropriate.

  • 8) √75 = 8.66; This value is close to the midpoint of 8 and 9 but slightly more than the midpoint and as such we mark as appropriate.

  • 9) √34 = 5.83; This value is close to 6 on the number line and as such we mark as appropriate.

  • 10) √57 = 7.55; This value is around the middle of 7 and 8 but slightly above the mid-point and so we mark a point very close to the middle of the integers 7 and 8.

I have attached a number line for all these values.

Read more at; brainly.com/question/17106183

Ver imagen AFOKE88

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