If the square root of 32 is irrational, what is the smallest number we can multiply it by to get a rational product?

Correct answer is

Step-by-step explanation:

Irrational number is one which cannot be written in the form of p/q.The square root of 32 is an irrational number, which means if we convert it into a decimal point, it would continue and will not stop.It means it will be non-terminating and non repeating decimals.The square root of 32 will not end and it's will have non repeating digits also.

    is * .

⇒ = 4

⇒ so = 4*

now square root of 32 comes out to be 4*

we will multiply it with to get a rational  product

i.e 4* *      (* = 2 )

⇒ 4*2

⇒ 8

we obtain 8 as a rational number. so is the smallest number with which we will multiply square root of 32 to get a rational product.