Which two integers is sqrt 103 between? Choices: (A)8 and 9 (B)9 and 10 (C)12 and 13 (D)10 and 11

Identify Perfect Squares: Identify the perfect squares close to 103. The perfect square just below 103 is 100 (10^2 = 100). The perfect square just above 103 is 121 (11^2 = 121).Calculate Square Roots: Calculate the square roots of these perfect squares. sqrt(100) = 10 sqrt(121) = 11Determine Integer Range: Determine between which two integers sqrt 103 falls. Since 100 < 103 < 121, then 10 < sqrt(103) < 11.

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Which two integers is $\sqrt{103}$ between? $\newline$ Choices: $\newline$ (A) $8$ and $9$ $\newline$ (B) $9$ and $10$ $\newline$ (C) $12$ and $13$ $\newline$ (D) $10$ and $11$

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Math Problems

Grade 8

Estimate positive and negative square roots

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Q. Which two integers is

\sqrt{103}

between?

\newline

Choices:

\newline

(A)

8

and

9

\newline

(B)

9

and

10

\newline

(C)

12

and

13

\newline

(D)

10

and

11

Identify Perfect Squares: Identify the perfect squares close to $103$ . The perfect square just below $103$ is $100$ ( $10^2 = 100$ ). The perfect square just above $103$ is $121$ ( $11^2 = 121$ ).
Calculate Square Roots: Calculate the square roots of these perfect squares. $\newline$ $\sqrt{100} = 10$ $\newline$ $\sqrt{121} = 11$
Determine Integer Range: Determine between which two integers $\sqrt{103}$ falls. $\newline$ Since 100 < 103 < 121, then 10 < \sqrt{103} < 11.