Which number has an irrational square root? Choices: (A)144 (B)121 (C)100 (D)81 (E)2

Identify square roots: Identify the square roots of the given numbers to determine which one is irrational. Square root of 144 = 12, Square root of 121 = 11, Square root of 100 = 10, Square root of 81 = 9, Square root of 2 = approximately 1.41421356237 (irrational number).Check rationality: Check each result to confirm if it's rational or irrational. 12, 11, 10, and 9 are all rational numbers because they can be expressed as a ratio of two integers. Approximately 1.41421356237 cannot be expressed as a ratio of two integers, making it irrational.

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Which number has an irrational square root? $\newline$ Choices: $\newline$ (A) $144$ $\newline$ (B) $121$ $\newline$ (C) $100$ $\newline$ (D) $81$ $\newline$ (E) $2$

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Math Problems

Grade 8

Cube roots of positive perfect cubes

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Q. Which number has an irrational square root?

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Choices:

\newline

(A)

144

\newline

(B)

121

\newline

(C)

100

\newline

(D)

81

\newline

(E)

2

Identify square roots: Identify the square roots of the given numbers to determine which one is irrational. $\newline$ Square root of $144 = 12$ , $\newline$ Square root of $121 = 11$ , $\newline$ Square root of $100 = 10$ , $\newline$ Square root of $81 = 9$ , $\newline$ Square root of $2 = \text{approximately } 1.41421356237$ (irrational number).
Check rationality: Check each result to confirm if it's rational or irrational. $\newline$ $12$ , $11$ , $10$ , and $9$ are all rational numbers because they can be expressed as a ratio of two integers. $\newline$ Approximately $1.41421356237$ cannot be expressed as a ratio of two integers, making it irrational.