Question

Classify the following number as rational or irrational
(a) root 15
(b) root 625
(c) 2.662
(d) 0.1501500150001500001......

Answer 1

Answer:

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Step-by-step explanation:

a- Irrational

b- Rational

c- Rational

d- Irrational

Answer 2

Answer:

Here is the step by step explanation.

Step-by-step explanation:

(a) $\sqrt{15}$ = $\sqrt{3X5}$

 Hence, $\sqrt{15}$ is an irrational number.

(b) $\sqrt{625}$ = $\sqrt{25X25}$ = $25$

 Hence, $\sqrt{625}$ is a rational number.

(c) $2.662$

As it is non-repeating but terminating.

 Hence, it is a rational number.

(d) $0.1501500150001500001500000150000001........$

As it is non-repeating and non-terminating.

 Hence, it is an irrational number.

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Hope it helps.

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