Which number is closest to sqrt 80 ? Choices: (A)7.9 (B)9.4 (C)8.9 (D)8.4

Identify Perfect Square Estimate: Step 1: Identify a perfect square close to 80 to estimate the square root. We know 9^2 = 81, which is very close to 80. So, sqrt(80) should be slightly less than 9.Compare Squares to 80: Step 2: Compare the square of the choices to 80 to find the closest match. (A) 7.9^2 = 62.41 (B) 9.4^2 = 88.36 (C) 8.9^2 = 79.21 (D) 8.4^2 = 70.56Determine Closest Match: Step 3: Determine which squared value is closest to 80. From the calculations: - 62.41 (A) is far from 80. - 88.36 (B) is higher than 80. - 79.21 (C) is very close to 80. - 70.56 (D) is also far from 80. So, 79.21 is the closest to 80.

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Which number is closest to $\sqrt{80}$ ? $\newline$ Choices: $\newline$ (A) $7.9$ $\newline$ (B) $9.4$ $\newline$ (C) $8.9$ $\newline$ (D) $8.4$

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Math Problems

Grade 7

Estimate square roots

Full solution

Q. Which number is closest to

\sqrt{80}

\newline

Choices:

\newline

(A)

7.9

\newline

(B)

9.4

\newline

(C)

8.9

\newline

(D)

8.4

Identify Perfect Square Estimate: Step $1$ : Identify a perfect square close to $80$ to estimate the square root. $\newline$ We know $9^2 = 81$ , which is very close to $80$ . So, $\sqrt{80}$ should be slightly less than $9$ .
Compare Squares to $80$ : Step $2$ : Compare the square of the choices to $80$ to find the closest match. $\newline$ (A) $7.9^2 = 62.41$ $\newline$ (B) $9.4^2 = 88.36$ $\newline$ (C) $8.9^2 = 79.21$ $\newline$ (D) $8.4^2 = 70.56$
Determine Closest Match: Step $3$ : Determine which squared value is closest to $80$ . From the calculations: - $62.41$ (A) is far from $80$ . - $88.36$ (B) is higher than $80$ . - $79.21$ (C) is very close to $80$ . - $70.56$ (D) is also far from $80$ . So, $79.21$ is the closest to $80$ .