Question

$\sqrt{3} + \sqrt{5}$
​

Answer 1

$= > \: \: \sqrt{3} + \sqrt{5}$

$= > \: \: 2.8824$

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Answer 2

Answer : Let √3+√5 is a rational no. be x.

i.e. √3+√5= r

squaring on both side, we get

(√3+√5)^2 = r^2

= 3 + 2√15 + 5 = r^2

= 2√15 = r^2-8

= √15 = (r^2-8)/2

Now (r^2-8)/2 is a rational no. but √15 is an irrational no.

since, a rational no. cannot equal to an irrational no.

therefore, √3+√5 is an irrational no.

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