Question

(2+root5) (2+root5) expressing is a) a rational no. B) a whole no. C) an irrational no. D) a natural no.

Answer 1

Answer:

c) an irrational number

Answer 2

Answer:

C (irrational no.)

Step-by-step explanation:

• As

$( 2 + \sqrt{5}) \times( 2 + \sqrt{5}) \\ = {( 2 + \sqrt{5})}^{2} \\ = { 2 }^{2} + {( \sqrt{5} )}^{2} +( 2 \times 2 \times \sqrt{5} ) \\ = 9 + (4 \sqrt{5} )$

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