Which number is closest to sqrt 7 ? Choices: (A)2.3 (B)1.8 (C)2.6 (D)2.1

Identify square roots: Step 1: Identify the square roots of the given choices to compare with sqrt(7). Calculate sqrt(2.3^2), sqrt(1.8^2), sqrt(2.6^2), and sqrt(2.1^2). 2.3^2 = 5.29, 1.8^2 = 3.24, 2.6^2 = 6.76, 2.1^2 = 4.41.Compare with 7: Step 2: Compare each result with 7 to find the closest value. 7 - 5.29 = 1.71, 7 - 3.24 = 3.76, 7 - 6.76 = 0.24, 7 - 4.41 = 2.59.Find smallest difference: Step 3: Determine which difference is the smallest. The smallest difference is 0.24, which corresponds to 2.6.

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Which number is closest to $\sqrt{7}$ ? $\newline$ Choices: $\newline$ (A) $2.3$ $\newline$ (B) $1.8$ $\newline$ (C) $2.6$ $\newline$ (D) $2.1$

View step-by-step help

Home

Math Problems

Grade 7

Estimate square roots

Full solution

Q. Which number is closest to

\sqrt{7}

\newline

Choices:

\newline

(A)

2.3

\newline

(B)

1.8

\newline

(C)

2.6

\newline

(D)

2.1

Identify square roots: Step $1$ : Identify the square roots of the given choices to compare with $\sqrt{7}$ . Calculate $\sqrt{2.3^2}$ , $\sqrt{1.8^2}$ , $\sqrt{2.6^2}$ , and $\sqrt{2.1^2}$ . $2.3^2 = 5.29$ , $1.8^2 = 3.24$ , $2.6^2 = 6.76$ , $2.1^2 = 4.41$ .
Compare with $7$ : Step $2$ : Compare each result with $7$ to find the closest value. $7 - 5.29 = 1.71$ , $7 - 3.24 = 3.76$ , $7 - 6.76 = 0.24$ , $7 - 4.41 = 2.59$ .
Find smallest difference: Step $3$ : Determine which difference is the smallest. $\newline$ The smallest difference is $0.24$ , which corresponds to $2.6$ .