Question

Plz answer the attachment
Question no. 23

Answer 1

Answer:

Let p = √5 + √3.

√5 + √3 = p

=> ( √5 + √3 )² = p²

=> 5 + 3 + 2√15 = p²

=> 2√15 = p² - 8

=> √15 = ( p² - 8 ) / 2

If p were rational then RHS would be rational.  But we are told that √15 is not rational.  Therefore p is irrational.

Answer 2

Answer:

Hope the attachment helps you

Thanks