Which two integers is sqrt 6 between? Choices: (A)0 and 1 (B)2 and 3 (C)4 and 5 (D)1 and 2

Understand the problem: Step 1: Understand the problem. We need to find two consecutive integers between which the square root of 6 lies. Estimate square root: Step 2: Estimate the square root of 6. Since 2^2 = 4 and 3^2 = 9, sqrt 6 must be between 2 and 3. Check square values: Step 3: Check the square of 2 and 3 to confirm. 2^2 = 4 and 3^2 = 9; since 6 is between 4 and 9, sqrt 6 must be between 2 and 3.

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Which two integers is $\sqrt{6}$ between? $\newline$ Choices: $\newline$ (A) $0$ and $1$ $\newline$ (B) $2$ and $3$ $\newline$ (C) $4$ and $5$ $\newline$ (D) $1$ and $2$

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Math Problems

Grade 7

Estimate square roots

Full solution

Q. Which two integers is

\sqrt{6}

between?

\newline

Choices:

\newline

(A)

0

and

1

\newline

(B)

2

and

3

\newline

(C)

4

and

5

\newline

(D)

1

and

2

Understand the problem: Step $1$ : Understand the problem. We need to find two consecutive integers between which the square root of $6$ lies.
Estimate square root: Step $2$ : Estimate the square root of $6$ . Since $2^2 = 4$ and $3^2 = 9$ , $\sqrt{6}$ must be between $2$ and $3$ .
Check square values: Step $3$ : Check the square of $2$ and $3$ to confirm. $2^2 = 4$ and $3^2 = 9$ ; since $6$ is between $4$ and $9$ , $\sqrt{6}$ must be between $2$ and $3$ .