Q. 34.8( 9 Votes )

Insert a rational number and an irrational number between the following:

(i) 2 and 3 (ii) 0 and 0.1

(iii) (iv)

(v) 0.15 and 0.16 (vi) √2 and √3

(vii) 2.357 and 3.121

(viii) .0001 and .001

(ix) 3.623623 and 0.484848

(x) 6.375289 and 6.375738.

Answer :

(i) Rational number: 2.1 and Irrational number: 2.040040004...


(ii) Rational number: 0.03 and Irrational number: 0.007000700007…


(iii) Rational number between


LCM of 3 and 2 is 6.


We can write and


So, rational number between and Irrational number: 0.414114111...


(iv)


Rational number: 0 and Irrational number: 0.151151115...


(v) Rational number: 0.151 and Irrational number: 0.151551555...


(vi) 2 = 1.41 and 3 = 1.732


Rational number: 1.5 and Irrational number: 1.585585558...


(vii) Rational number: 3 and Irrational number: 3.101101110...


(viii) Rational number: 0.00011 and Irrational number: 0.0001131331333...


(ix) Rational number: 1 and Irrational number: 1.909009000...


(x) Rational number: 6.3753 and Irrational number: 6.375414114111...


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