NUMBER SYSTEMS - NCERT

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2 EXEMPLAR PROBLEMS • If r is a rational number and s is an irrational number, then r+s and r-s are irrationals. Further, if r is a non-zero rational, then rs and r s are irrationals. • For positive real numbers a and b : (i) ab a b= (ii) aa b b = (iii) (ab ab+−)( )=−ab (iv) (a ba b+−)( )=−ab2 (v) ab+ 2 =+ +a ab b2 • If p and q are rational numbers and a is a positive real number ...

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