Question

1.What type of number is the product of 5 and sqrt(5)?A.integerB.rationalC.irrationalD.transcendental

Answer 1

Given

Product means multiplication

`5*\sqrt[]{5}`

Let's explain all the options first

1. An integer is a number with no decimal or fractional part, from the set of negative and positive numbers, including zero.

2. A Rational Number can be made by dividing an integer by an integer.

3. An Irrational Number is a real number that cannot be written as a simple fraction

4. A transcendental number is a (possibly complex) number that is not the root of any integer polynomial, meaning that it is not an algebraic number.

The final answer

`5*\sqrt[]{5}\text{ =11.18033989}\ldots`

is irrational