The value of sqrt87 is between which two whole numbers? 8 and 9 9 and 10 43 and 44 81 and 100

Identify Perfect Squares: First, identify the perfect squares closest to 87 to determine the possible whole number range. The perfect squares closest to 87 are 81 (9^2) and 100 (10^2). Calculation: 9^2 = 81, 10^2 = 100Calculate Square Roots: Next, since 87 is between 81 and 100, sqrt(87) must be between sqrt(81) and sqrt(100). Calculate the square roots of 81 and 100. Calculation: sqrt(81) = 9, sqrt(100) = 10Conclude Square Root Range: Conclude that sqrt(87) is between 9 and 10. Calculation: 9 < sqrt(87) < 10

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The value of
sqrt87 is between which two whole numbers?
8 and 9
9 and 10
43 and 44
81 and 100

The value of $\sqrt{87}$ is between which two whole numbers? $\newline$ $8$ and $9$ $\newline$ $9$ and $10$ $\newline$ $43$ and $44$ $\newline$ $81$ and $100$

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Grade 8

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Q. The value of

\sqrt{87}

is between which two whole numbers?

\newline

8

and

9

\newline

9

and

10

\newline

43

and

44

\newline

81

and

100

Identify Perfect Squares: First, identify the perfect squares closest to $87$ to determine the possible whole number range. The perfect squares closest to $87$ are $81$ ( $9^2$ ) and $100$ ( $10^2$ ). $\newline$ Calculation: $9^2 = 81$ , $10^2 = 100$
Calculate Square Roots: Next, since $87$ is between $81$ and $100$ , $\sqrt{87}$ must be between $\sqrt{81}$ and $\sqrt{100}$ . Calculate the square roots of $81$ and $100$ . $\newline$ Calculation: $\sqrt{81} = 9$ , $\sqrt{100} = 10$
Conclude Square Root Range: Conclude that $\sqrt{87}$ is between $9$ and $10$ . $\newline$ Calculation: 9 < \sqrt{87} < 10