Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Which number is closest to $\sqrt{82}$ ? $\newline$ Choices: $\newline$ (A) $10.3$ $\newline$ (B) $10.2$ $\newline$ (C) $9.0$ $\newline$ (D) $9.7$

View step-by-step help

View step-by-step help

Estimate square roots

Full solution

Q. Which number is closest to

\sqrt{82}

?

\newline

Choices:

\newline

(A)

10.3

\newline

(B)

10.2

\newline

(C)

9.0

\newline

(D)

9.7

Identify Perfect Square: Step $1$ : Identify the square root of a perfect square close to $82$ for estimation. $\newline$ Since $81$ is a perfect square ( $9^2 = 81$ ), and $100$ is the next perfect square ( $10^2 = 100$ ), $\sqrt{82}$ will be slightly more than $9$ but less than $10$ .
Calculate Square Root: Step ext{ $2$ }: Calculate the square root of ext{ $82$ } using a calculator for more accuracy. $\newline$ $\sqrt{82} \approx 9.0554$
Compare with Choices: Step $3$ : Compare the calculated square root with the given choices. $\newline$ - $10.3$ is too high. $\newline$ - $10.2$ is also too high. $\newline$ - $9.0$ is close, but let's check $9.7$ . $\newline$ - $9.7$ is closer to $9.0554$ than $9.0$ .

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