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Rational and Irrational Numbers
1. Which of these square roots are irrational numbers:
2 , 3 , 4 , 8 , 9 , 10 ?
2. Which of the following numbers are rational:
7, 7 ,
7 7 3
7
, , 7,
,7  7 ?
10 11
10
3. Write down a rational number and an irrational number both greater than
than 5.
4. Which of the following powers of
5 and less
3 are rational and which are irrational:
 3 , 3 , 3 , 3 ?
1
2
3
4
5. Find an irrational number which lies between:
a) 3 and 4
b) 10 and 11
c)
3
3
and
5
4
d) 3.14 and 
6. P is a rational number and Q is an irrational number. Give a value for P and a
corresponding value for Q such that P + Q =
5.
Rational and Irrational Numbers
1. Which of these square roots are irrational numbers:
2 , 3 , 4 , 8 , 9 , 10 ?
2. Which of the following numbers are rational:
7, 7 ,
7 7 3
7
, , 7,
,7  7 ?
10 11
10
3. Write down a rational number and an irrational number both greater than
than 5.
4. Which of the following powers of
5 and less
3 are rational and which are irrational:
 3 , 3 , 3 , 3 ?
1
2
3
4
5. Find an irrational number which lies between:
a) 3 and 4
b) 10 and 11
c)
3
3
and
5
4
d) 3.14 and 
6. P is a rational number and Q is an irrational number. Give a value for P and a
corresponding value for Q such that P + Q =
5.