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Which of the following is an irrational number?

A. -sqrt 16
B. sqrt .4
C. sqrt 4
D. sqrt 16

1 Answer

2 votes

An irrational number is a number that cannot be expressed as a fraction or a decimal that terminates or repeats.

Among the options given:

A. -sqrt 16 = -4, which is a rational number (integer).

B. sqrt 0.4 is an irrational number because it cannot be expressed as a terminating or repeating decimal.

C. sqrt 4 = 2, which is a rational number (integer).

D. sqrt 16 = 4, which is a rational number (integer).

Therefore, the answer is B. sqrt 0.4, which is an irrational number.


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