Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Which number is closest to $\sqrt{37}$ ? $\newline$ Choices: $\newline$ (A) $5.8$ $\newline$ (B) $6.0$ $\newline$ (C) $5.6$ $\newline$ (D) $6.9$

View step-by-step help

View step-by-step help

Estimate square roots

Full solution

Q. Which number is closest to

\sqrt{37}

?

\newline

Choices:

\newline

(A)

5.8

\newline

(B)

6.0

\newline

(C)

5.6

\newline

(D)

6.9

Identify Perfect Squares: Step $1$ : Identify the perfect squares closest to $37$ to estimate the square root. $\newline$ Since $36$ ( $6^2$ ) is less than $37$ and $49$ ( $7^2$ ) is more than $37$ , the square root of $37$ must be between $6$ and $7$ .
Compare Given Choices: Step $2$ : Compare the given choices to our estimated range. Choices are $(A) 5.8, (B) 6.0, (C) 5.6, (D) 6.9$ . Since we know the square root of $37$ is between $6$ and $7$ , we can eliminate choices $(A)$ and $(C)$ .
Calculate Square of Choices: Step $3$ : Calculate the square of the remaining choices to see which is closer to $37$ . $\newline$ $6.0^2 = 36$ $\newline$ $6.9^2 = 47.61$ $\newline$ Since $36$ is closer to $37$ than $47.61$ , choice (B) $6.0$ is closer to the square root of $37$ .

More problems from Estimate square roots

Question

\sqrt{49}

?

\newline

Posted 1 month ago

Question

Complete the following statement. Use the integers that are closest to the number in the middle.

\newline

<

\sqrt{40}

<

Posted 1 month ago

Question

-\sqrt{64}

\newline

Posted 2 months ago

Question

\sqrt[3]{27}

Posted 1 month ago

Question

Which two integers is

-\sqrt{48}

\newline

\newline

[A]-6 \text{ and } -5

\newline

[B]5 \text{ and } 6

\newline

[C]-7 \text{ and } -6

\newline

[D]6 \text{ and } 7

Posted 6 days ago

Question

What is the cube root of

-64

\newline

Posted 2 months ago

Question

Which two integers is

\sqrt[3]{22}

\newline

\newline

[1 \text{ and } 2]

\newline

[15 \text{ and } 16]

\newline

[16 \text{ and } 17]

\newline

[2 \text{ and } 3]

Posted 2 months ago

Question

\newline

(\sqrt{25})^2 = \_\_\_\_\_

Posted 1 month ago

Question

Look at this equation:

\newline

c^3 = 27

\newline

\newline

c

, the cube root of

27

\newline

c =

\newline

Posted 2 months ago

Question

Write the sentence as an equation.

\newline

172

is equal to the quotient of

x

4

\newline

/

) if you want to use a division sign.

\newline

Posted 1 month ago