Question

5. Which of the following statements is (are) always true?I. A root of a negative number may be a real number. II. The positive square root of a number is smaller than the number. III. A binomial multiplied by a binomial yields a trinomial.A. I onlyB.II onlyC. III onlyD. None above

Answer 1

Given,

The statemenets are:

I. A root of a negative number may be a real number.

II. The positive square root of a number is smaller than the number.

III. A binomial multiplied by a binomial yields a trinomial.

For statement I:

Root of negative cannot be negative.

for statemenet II:

Yes, the square root of positive number is less than number.

But square root of fraction is greater than number.

For statement III:

A binomial multiplied by a binomial doesnot yields a trinomial

Hence, option d is correct.