Nolan used the following procedure to find an estimate for StartRoot 18 EndRoot. Step 1: Since 4 squared = 16 and 5 squared = 25 and 16 < 18 < 25, StartRoot 18 EndRoot is between 4 and 5. Step 2: Since 18 is closer to 16, square the tenths closer to 4. 4. 1 squared = 16. 81 4. 2 squared = 17. 64 4. 3 squared = 18. 49 4. 4 squared = 19. 36 Step 3: Since 18. 49 rounds to 18, 4. 3 is the best approximation for StartRoot 18 EndRoot. In which step, if any, did Nolan make an error? In step 1, StartRoot 18 EndRoot is between 4 and 5 becauseStartRoot 18 EndRoot almost-equals 20 and 4 times 5 = 20. In step 2, he made a calculation error when squaring. In step 3, he should have determined which square is closest to 18. Nolan did not make an error.

Respuesta :

Nolan did not make an error while estimating the square root of number 18 and his all the steps are correct.

What is a square root?

A real square root of a number is the value which is when multiplicand by itself gives the same value as the number posses.

Nolan used the following procedure to find an estimate for

[tex]\sqrt{18}[/tex]

  • Step 1:

The square of the number 4 is,

[tex]4^2=16[/tex]

The square of the number 5 is,

[tex]5^2=25[/tex]

Number 18 lies between these number as,

[tex]16 < 18 < 25[/tex]

Therefore, the [tex]\sqrt{18}[/tex] is somewhere between the number 4 and 5.

  • Step 2:

Since 18 is closer to 16, square the tenths closer to 4.

[tex]{4. 1 }^2= 16. 81\\{4. 2 }^2= 17.64\\{4. 3}^2= 18.49\\{4. 4}^2= 19.36\\[/tex]

This step is also correct, when squaring.

  • Step 3:

Since 18.49 rounds to 18, 4.3 is the best approximation for [tex]\sqrt{18}[/tex].

All the above steps are correct.

Thus, Nolan did not make an error while estimating the square root of number 18 and his all the steps are correct.

Learn more about the square root here;

https://brainly.com/question/664132

Answer:

The answer is C: In step 3, he should have determined which square is closest to 18.