Question

write two irrational numbers between 2/3 and 3/4.
pls answer it correctly and fast :(​

Answer 1

Step-by-step explanation:

Adding on to the other answer, we can easily generate as many such numbers as we'd like by noting that the sum of an irrational with a rational is irrational. For example, we have the well known irrationals

e

=

2.7182

...

and

π

=

3.1415

...

.

So, without worrying about the exact bounds, we can definitely add any positive number less than

0.2

to

e

or subtract a positive number less than

0.7

and get another irrational in the desired range. Similarly, we can subtract any positive number between

0.2

and

1.1

and get an irrational between

2

and

3

.

2

<

e

<

e

+

0.1

<

e

+

0.11

<

e

+

0.111

<

...

<

e

+

1

9

<

3

2

<

π

−

1.1

<

π

−

1.01

<

π

−

1.001

<

...

<

π

−

1

<

3

This can be done with any irrational for which we have an approximation for at least the integer portion. For example, we know that

1

<

√

2

<

√

3

<

2

. As

√

2

and

√

3

are both irrational, we can add

1

to either of them to get further irrationals in the desired range:

2

<

√

2

+

1

<

√

3

+

1

<

3

Answer 2

2/3 × 20/20 3/4 × 20/20

40/60. 60/80

so ,41/60 , 42/60 , 43/60 ,..