Question

To which subsets of real numbers does the following number belong? square root of 30

Answer 1

In order to determine which subset it belongs, we must rewrite

$\sqrt(30)$

as

$\sqrt(30)=\sqrt(2\times \times 3 \times 5)$

$\Rightarrow \sqrt(30)=\sqrt(2 \times 3\times 5)$

$\Rightarrow \sqrt(30)=\sqrt(2) \times \sqrt(3) \times \sqrt(5)$

All these three numbers are irrational numbers, hence their product is also irrational

$\Rightarrow \sqrt(30)$

belongs to the set of irrational numbers

Answer 2

Answer:

Irrational number

Step-by-step explanation:

We are given that $\sqrt{30}$

We have to find that given  number from which subset of real numbers  belong.

$\sqrt{30}$  can be written as

$\sqrt{30}=\sqrt2\times \sqrt3\times \sqrt{5}$

We know that

$\sqrt2, \sqrt3,\sqrt5$ are irrational numbers .

Product of irrational numbers sometimes rational and some times irrational depend upon given numbers.

Therefore, $\sqrt{30}$ is a irrational number.

Hence, $\sqrt{30}$ belongs to irrational number .