Whichofthefollowingdescribesqrt 5?Selectallthatapply. Multi-select Choices: (A)integer (B)rational number (C)irrational number (D)whole number

Evaluate sqrt 5: Evaluate sqrt 5. sqrt 5 means the number which when multiplied by itself gives 5. Since no integer or whole number squared gives 5, sqrt 5 is not an integer or a whole number.Determine Rationality: Determine if sqrt 5 is a rational number. A rational number can be expressed as a fraction a/b, where a and b are integers and b is not zero. sqrt 5 cannot be expressed as such a fraction without a decimal or repeating decimal, it is not a rational number.Check Irrationality: Check if sqrt 5 is an irrational number. An irrational number cannot be expressed as a simple fraction. Since sqrt 5 cannot be expressed as a fraction of integers, it is an irrational number.

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Which of the following describes $\sqrt{5}$ ? Select all that apply. $\newline$ Multi-select Choices: $\newline$ (A) integer $\newline$ (B) rational number $\newline$ (C) irrational number $\newline$ (D) whole number

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Math Problems

Grade 8

Identify rational and irrational square roots

Full solution

Q. Which of the following describes

\sqrt{5}

? Select all that apply.

\newline

Multi-select Choices:

\newline

(A) integer

\newline

(B) rational number

\newline

\newline

(D) whole number

Evaluate $\sqrt{5}$ : Evaluate $\sqrt{5}$ . $\newline$ $\sqrt{5}$ means the number which when multiplied by itself gives $5$ . $\newline$ Since no integer or whole number squared gives $5$ , $\sqrt{5}$ is not an integer or a whole number.
Determine Rationality: Determine if $\sqrt{5}$ is a rational number. $\newline$ A rational number can be expressed as a fraction $\frac{a}{b}$ , where $a$ and $b$ are integers and $b$ is not zero. $\newline$ $\sqrt{5}$ cannot be expressed as such a fraction without a decimal or repeating decimal, it is not a rational number.
Check Irrationality: Check if $\sqrt{5}$ is an irrational number. $\newline$ An irrational number cannot be expressed as a simple fraction. $\newline$ Since $\sqrt{5}$ cannot be expressed as a fraction of integers, it is an irrational number.