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2 years ago

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

$\sqrt(30)$

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

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

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

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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