Question

Write two irrational numbers and two rational numbers between 5/6 6/7

Answer 1

Answer:

5/6, 1/42, 22/21

Step-by-step explanation:

let,

a=5/6, b=6/7

formula= d= (b-a/n+1)

6/7-5/6/2+1

= 36-35/42/3

= 1/42/3

= 3/42

formula = a, (a+d), (a+3d)

5/6, (6/7-5/6) , (5/6+3*3/42)

5/6, 1/42, 22/21 answer

OK FRIEND..........

I hope you understand

Answer 2

Answer:

Rational numbers:

• Rational numbers are the numbers that can be written in the form of p/q where p and q are integers and q is not equal to zero.
• Example: 2/3, 4/7 etc.

Given:

We have been given two numbers 5/6 and 6/7.

To Find:

We need to find two irrational and two rational numbers between these two rational numbers.

Solution:

Inorder to find two rational numbers between 5/6 and 6/7, we need to multiply by 12/12 in 5/6 and 6/7.

On multiplying by 12/12 in 5/6 we get,

5/6 × 12/12 = 60/84

On multiplying by 12/12 in 6/7 we get,

6/7 × 12/12 = 72/84

Now, two rational numbers between 60/84 and 72/84 are:

61/84, 62/84, 63/84 etc.

Now, we need to find two irrational numbers between 5/6 and 6/7.

We know that square root of numbers other than perfect square numbers are irrational numbers.

So, two irrational numbers between 5/6 and 6/7 are √61/84, √62/84 etc.