Is sqrt 9 an irrational number? Choices: (A)yes (B)no

Calculate sqrt 9: Step 1: Calculate sqrt 9. To find the square root of 9, we need to determine which number multiplied by itself gives 9. 9 = 3 * 3 sqrt 9 = sqrt(3^2) = 3Determine decimal type: Step 2: Determine if 3 is a terminating decimal. The number 3 can be expressed as 3.0, which is a terminating decimal.Check irrationality: Step 3: Check if 3 is an irrational number. Since 3 is a terminating decimal, it is not an irrational number. Irrational numbers are non-terminating, non-repeating decimals.

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Is $\sqrt{9}$ an irrational number? $\newline$ Choices: $\newline$ (A) yes $\newline$ (B) no

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Math Problems

Grade 8

Identify rational and irrational square roots

Full solution

Q. Is

\sqrt{9}

an irrational number?

\newline

Choices:

\newline

(A) yes

\newline

(B) no

Calculate $\sqrt{9}$ : Step $1$ : Calculate $\sqrt{9}$ . $\newline$ To find the square root of $9$ , we need to determine which number multiplied by itself gives $9$ . $\newline$ $9 = 3 \times 3$ $\newline$ $\sqrt{9} = \sqrt{3^2} = 3$
Determine decimal type: Step $2$ : Determine if $3$ is a terminating decimal. $\newline$ The number $3$ can be expressed as $3.0$ , which is a terminating decimal.
Check irrationality: Step $3$ : Check if $3$ is an irrational number. $\newline$ Since $3$ is a terminating decimal, it is not an irrational number. Irrational numbers are non-terminating, non-repeating decimals.