Question

Classify the following numbers as rational or irrational with justification:
(a) root1 2/root 3
(b) 0. 592 (c) - root 0.4 (d) 0.4014001... (e)root 9/27

(f) 1 + 5 − 4 + 5 (g)-2 raised to root 3
(h) root 3 − root 7
raised to 2
(i) 1.72404142...

Answer 1

Step-by-step explanation:

Solution :

Solution :<br> Hecne, it is a rational number, <br>

Solution :<br> Hecne, it is a rational number, <br><br> Hence, it is an irrational number, because

Solution :<br> Hecne, it is a rational number, <br><br> Hence, it is an irrational number, becauseis an irrational number. <br>

Solution :<br> Hecne, it is a rational number, <br><br> Hence, it is an irrational number, becauseis an irrational number. <br><br> Hence, it is a rational number. <br> (v)

Solution :<br> Hecne, it is a rational number, <br><br> Hence, it is an irrational number, becauseis an irrational number. <br><br> Hence, it is a rational number. <br> (v)<br> Hence, it is a quotient of rational and irrational number , so it is an irrational number .

Solution :<br> Hecne, it is a rational number, <br><br> Hence, it is an irrational number, becauseis an irrational number. <br><br> Hence, it is a rational number. <br> (v)<br> Hence, it is a quotient of rational and irrational number , so it is an irrational number .<br> Hence, it is a rational number. <br> (vii) 0.5918, it is a number with terminating decimal, so it can be written in the form of

Solution :<br> Hecne, it is a rational number, <br><br> Hence, it is an irrational number, becauseis an irrational number. <br><br> Hence, it is a rational number. <br> (v)<br> Hence, it is a quotient of rational and irrational number , so it is an irrational number .<br> Hence, it is a rational number. <br> (vii) 0.5918, it is a number with terminating decimal, so it can be written in the form of<br> weher

Solution :<br> Hecne, it is a rational number, <br><br> Hence, it is an irrational number, becauseis an irrational number. <br><br> Hence, it is a rational number. <br> (v)<br> Hence, it is a quotient of rational and irrational number , so it is an irrational number .<br> Hence, it is a rational number. <br> (vii) 0.5918, it is a number with terminating decimal, so it can be written in the form of<br> weherand q are integers, Hecne, it is a raional number. <br> (viii)

Solution :<br> Hecne, it is a rational number, <br><br> Hence, it is an irrational number, becauseis an irrational number. <br><br> Hence, it is a rational number. <br> (v)<br> Hence, it is a quotient of rational and irrational number , so it is an irrational number .<br> Hence, it is a rational number. <br> (vii) 0.5918, it is a number with terminating decimal, so it can be written in the form of<br> weherand q are integers, Hecne, it is a raional number. <br> (viii)<br> Hence , it is a rational number. <br> (ix) 10.124124.... , is a number with non- terminating recurring decimal expansion. <br> Hence, it is a rational number . <br> (x) 1.010010001........ is a number with non-terminating non - terminating non - recuring decimal expansion <br> Hence, it is a irrational number.