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Which two integers is $\sqrt{62}$ between? $\newline$ Choices: $\newline$ (A) $7$ and $8$ $\newline$ (B) $9$ and $10$ $\newline$ (C) $5$ and $6$ $\newline$ (D) $6$ and $7$

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Estimate positive square roots

Full solution

Q. Which two integers is

\sqrt{62}

between?

\newline

Choices:

\newline

(A)

7

and

8

\newline

(B)

9

and

10

\newline

(C)

5

and

6

\newline

(D)

6

and

7

Calculate Square Root: Calculate the square root of $62$ using a calculator. $\newline$ Calculation: $\sqrt{62} \approx 7.87$ .
Identify Closest Integers: Determine the closest integers around $7.87$ . $\newline$ Closest smaller integer: $7$ . $\newline$ Closest larger integer: $8$ .
Formulate Expression: Formulate the expression using the identified integers. $\newline$ Expression: $7 < \sqrt{62} < 8$ .

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