Question

Choose all the options that describe the result of the multiplicationa. integerb. rationalc. irrational

Answer 1

Given that,

`((4)/(3))(\frac{\sqrt[]{6}}{2})`

Simplifying this we get,

`=(2)/(3)\sqrt[]{6}`

we know that,

The numbers which are not a rational number are called irrational numbers.

Irrational numbers have endless non-repeating digits after the decimal point.

we get that,

`\sqrt[]{6}\text{ is an irrational number.}`

Hence,

`(2)/(3)\sqrt[]{6}\text{ is an irrational}`

Answer is: option c: irrational