Question

Root 5-3-2 is (a) a rational number (b) a natural number (c) equal to zero (d) an irrational number

Answer 1

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Answer 2

√5 - 3 - 2 is an irrational number

Given : The number √5 - 3 - 2

To find : The number is

(a) a rational number

(b) a natural number

(c) equal to zero

(d) an irrational number

Solution :

Here the given number is √5 - 3 - 2

First we simplify the given expression

√5 - 3 - 2

= √5 - 5

= - 5 + √5

- 5 is a rational number and √5 is a irrational number

We know sum of a rational number and an irrational number is always irrotational number

So - 5 + √5 is a irrational number

Thus √5 - 3 - 2 is a irrational number

Hence the correct option is (d) an irrational number

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