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Minchanka [31]
2 years ago
7

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

Mathematics
2 answers:
LenaWriter [7]2 years ago
6 0

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


<h2>\Rightarrow \sqrt(30)</h2><h2>belongs to the set of irrational numbers</h2>
aleksandrvk [35]2 years ago
6 0

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 .

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