QuestionFind the two whole numbers between which $\sqrt{12}$ lies and justify your answer.

Studdy Solution

STEP 1

Assumptions1. We are looking for two consecutive whole numbers. . The square root of12 lies between these two numbers.

STEP 2

First, we need to find the square root of12.
$\sqrt{12}$

STEP 3

Calculate the square root of12.
$\sqrt{12} \approx3.46$

STEP 4

Now that we have the square root of12, we can see that it is greater than3 and less than4.
$3 < \sqrt{12} <4$

STEP 5

Therefore, the square root of12 lies between the two consecutive whole numbers3 and4.
The square root of12, which is approximately3.46, lies between the numbers3 and4.

Was this helpful?

QuestionFind the two whole numbers between which $\sqrt{12}$ lies and justify your answer.

Studdy Solution

STEP 1

Assumptions1. We are looking for two consecutive whole numbers. . The square root of12 lies between these two numbers.

STEP 2

First, we need to find the square root of12.
$\sqrt{12}$

STEP 3

Calculate the square root of12.
$\sqrt{12} \approx3.46$

STEP 4

Now that we have the square root of12, we can see that it is greater than3 and less than4.
$3 < \sqrt{12} <4$

STEP 5

Therefore, the square root of12 lies between the two consecutive whole numbers3 and4.
The square root of12, which is approximately3.46, lies between the numbers3 and4.

Get Studdy

Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

QuestionFind the two whole numbers between which 12\sqrt{12}12​ lies and justify your answer.

Studdy Solution

STEP 1

Assumptions1. We are looking for two consecutive whole numbers. . The square root of12 lies between these two numbers.

STEP 2

First, we need to find the square root of12.12\sqrt{12}12​

STEP 3

Calculate the square root of12.12≈3.46\sqrt{12} \approx3.4612​≈3.46

STEP 4

Now that we have the square root of12, we can see that it is greater than3 and less than4.3<12<43 < \sqrt{12} <43<12​<4

STEP 5

Therefore, the square root of12 lies between the two consecutive whole numbers3 and4.The square root of12, which is approximately3.46, lies between the numbers3 and4.

Get Studdy

Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

QuestionFind the two whole numbers between which $\sqrt{12}$ lies and justify your answer.

First, we need to find the square root of12.
$\sqrt{12}$

Calculate the square root of12.
$\sqrt{12} \approx3.46$

Now that we have the square root of12, we can see that it is greater than3 and less than4.
$3 < \sqrt{12} <4$

Therefore, the square root of12 lies between the two consecutive whole numbers3 and4.
The square root of12, which is approximately3.46, lies between the numbers3 and4.