Which two integers is –sqrt 66 between? Choices: (A)–8 and –7 (B)–12 and –11 (C)–9 and –8 (D)–11 and –10

Identify Perfect Squares: Step 1: Identify the perfect squares close to 66. The perfect square just below 66 is 64. The perfect square just above 66 is 81.Calculate Square Roots: Step 2: Calculate the square roots of these perfect squares. sqrt 64 = 8 because 8 * 8 = 64. sqrt 81 = 9 because 9 * 9 = 81.Determine Negative Square Roots: Step 3: Determine the negative square roots. -sqrt 64 = -8. -sqrt 81 = -9.Place -sqrt 66: Step 4: Place -sqrt 66 in the correct interval. Since -9 < -sqrt 66 < -8, -sqrt 66 is between -9 and -8.

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Which two integers is $-\sqrt{66}$ between? $\newline$ Choices: $\newline$ (A) $-8$ and $-7$ $\newline$ (B) $-12$ and $-11$ $\newline$ (C) $-9$ and $-8$ $\newline$ (D) $-11$ and $-10$

View step-by-step help

Home

Math Problems

Grade 8

Estimate positive and negative square roots

Full solution

Q. Which two integers is

-\sqrt{66}

between?

\newline

Choices:

\newline

(A)

-8

and

-7

\newline

(B)

-12

and

-11

\newline

(C)

-9

and

-8

\newline

(D)

-11

and

-10

Identify Perfect Squares: Step $1$ : Identify the perfect squares close to $66$ . The perfect square just below $66$ is $64$ . The perfect square just above $66$ is $81$ .
Calculate Square Roots: Step $2$ : Calculate the square roots of these perfect squares. $\newline$ $\sqrt{64} = 8$ because $8 \times 8 = 64$ . $\newline$ $\sqrt{81} = 9$ because $9 \times 9 = 81$ .
Determine Negative Square Roots: Step $3$ : Determine the negative square roots. $\newline$ $-\sqrt{64} = -8.$ $\newline$ $-\sqrt{81} = -9.$
Place $-\sqrt{66}$ : Step $4$ : Place $-\sqrt{66}$ in the correct interval. $\newline$ Since -9 < -\sqrt{66} < -8, $-\sqrt{66}$ is between $-9$ and $-8$ .