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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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Evaluate radical expressions

Full solution

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: $9 < \sqrt{87} < 10$

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