Which of the following sentences are statements? In case of a statement, mention whether it is true or false. (i)(2 + √3) is a complex number. - India Site

Which of the following sentences are statements? In case of a statement, mention whether it is true or false.
(i)(2 + √3) is a complex number.

RS Agarwal Maths Class 11 Mathematical Reasoning

Which of the following sentences are statements? In case of a statement, mention whether it is true or false.
(i)(2 + √3) is a complex number.

The sentence ‘(2 + √3) is a complex number’ is a statement.
A number which can be expressed in the form ‘a+ib’ is a complex number, (2 + √3) cannot be expressed in ‘a+ib’ form, so 2 + √3 is not a complex number. So the given
sentence is a statement, and it is false.
Note: A sentence is called a mathematically acceptable statement if it is either true or false but not both.

i

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