Question

5 rational nd irrational no.'s b/w 0.1 nd 0.2

Answer 1

0.11, 0.12, 0.13, 0.14, 0.15, 0.16
and
Answer:

Irrational numbers are those that never give a clear result. Three of those between

2and3

could be:

√5

,

√6

,

√7

, and there are many more that go beyond pre-algebra.

Explanation:

Irrational numbers are always approximations of a value, and each one tends to go on forever. Roots of all numbers that are not perfect squares (NPS) are irrational, as are some useful values like

π

and

e

.

To find the irrational numbers between two numbers like

2and3

we need to first find squares of the two numbers which in this case are

22

=4and

32

=9

.

Now we know that the start and end points of our set of possible solutions are

4and9

respectively. We also know that both

4and9

are perfect squares because squaring is how we found them.

Then using the definition above, we can say that the root of all NPS numbers between the two squares we just found will be irrational numbers between the original numbers. Between

4and9

we have

5,6,7,8

; whose roots are

√5

,

√6

,

√7

,

√8

.


The roots of these will be irrational numbers between

2and3

.

Eg:

√8

≈2.82842712474619...............

where the wavy lines mean approximately, or, we will never have the exact numerical answer.

Answer 2

0.11, 0.12, 0.13, 0.14, 0.15, 0.16