Which two integers is –sqrt 39 between? Choices: (A)–7 and –6 (B)5 and 6 (C)–6 and –5 (D)6 and 7

Identify Perfect Squares: Identify the perfect squares around 39. The perfect square just below 39 is 36. The perfect square just above 39 is 49.Calculate Square Roots: Calculate the square roots of these perfect squares. sqrt 36 = 6 sqrt 49 = 7Determine Negative Square Roots: Determine the negative square roots. -sqrt 36 = -6 -sqrt 49 = -7Place Negative Square Roots: Place -sqrt 39 in relation to -6 and -7. Since -7 < -sqrt 39 < -6, -sqrt 39 is between -7 and -6.

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Which two integers is $–\sqrt{39}$ between? $\newline$ Choices: $\newline$ (A) $–7$ and $–6$ $\newline$ (B) $5$ and $6$ $\newline$ (C) $–6$ and $–5$ $\newline$ (D) $6$ and $7$

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Math Problems

Grade 8

Estimate positive and negative square roots

Full solution

Q. Which two integers is

–\sqrt{39}

between?

\newline

Choices:

\newline

(A)

–7

and

–6

\newline

(B)

5

and

6

\newline

(C)

–6

and

–5

\newline

(D)

6

and

7

Identify Perfect Squares: Identify the perfect squares around $39$ . The perfect square just below $39$ is $36$ . The perfect square just above $39$ is $49$ .
Calculate Square Roots: Calculate the square roots of these perfect squares. $\newline$ $\sqrt{36} = 6$ $\newline$ $\sqrt{49} = 7$
Determine Negative Square Roots: Determine the negative square roots. $\newline$ $-\sqrt{36} = -6$ $\newline$ $-\sqrt{49} = -7$
Place Negative Square Roots: Place $-\sqrt{39}$ in relation to $-6$ and $-7$ . Since -7 < -\sqrt{39} < -6, $-\sqrt{39}$ is between $-7$ and $-6$ .