Issqrt 7anirrationalnumber? Choices: (A)yes (B)no

Evaluate sqrt(7): Evaluate sqrt(7). sqrt(7) is the number that, when multiplied by itself, equals 7. There is no whole number or simple fraction that, when squared, equals 7.Identify decimal type: Identify if sqrt(7) is a terminating or non-terminating decimal. Since there is no rational number that squares to 7, sqrt(7) cannot be expressed as a fraction of two integers. Therefore, sqrt(7) is a non-terminating decimal.Determine irrationality: Determine if sqrt(7) is an irrational number. A number that is non-terminating and non-repeating is considered irrational. Since sqrt(7) is non-terminating and cannot be expressed as a fraction, it is irrational.

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Is $\sqrt{7}$ 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{7}

an irrational number?

\newline

Choices:

\newline

(A) yes

\newline

(B) no

Evaluate $\sqrt{7}$ : Evaluate $\sqrt{7}$ . $\newline$ $\sqrt{7}$ is the number that, when multiplied by itself, equals $7$ . $\newline$ There is no whole number or simple fraction that, when squared, equals $7$ .
Identify decimal type: Identify if $\sqrt{7}$ is a terminating or non-terminating decimal. $\newline$ Since there is no rational number that squares to $7$ , $\sqrt{7}$ cannot be expressed as a fraction of two integers. $\newline$ Therefore, $\sqrt{7}$ is a non-terminating decimal.
Determine irrationality: Determine if $\sqrt{7}$ is an irrational number. A number that is non-terminating and non-repeating is considered irrational. Since $\sqrt{7}$ is non-terminating and cannot be expressed as a fraction, it is irrational.