Question

4. Find two irrational numbers between 0.7 and 0.77
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Answer 1

Answer:

$\huge{\boxed{\rm{\red{√0.539 and √0.3773}}}}$

Step-by-step explanation:

Given two numbers are 0.7 and 0.77

They can be written as 7/10 and 77/100

We know that

If a and b two numbers then the irrational number between them is '√(ab)'

First irrational number =√[(7/10)(77/100/]

=√[539/1000]

= √0.539

Second irrational number =√(0.7)(0.539)

=√(7/10)(539/1000)

= √[3773/10000]

=√0.3773

The two irrational numbers between 0.7 and 0.77 are √0.539 and √0.3773

Answer 2

The similarly find irrational number between one of the given numbers and the newly introduced irrational number. From equation (2) and equation (3) we can write the answer as root 0.539 and root 0.5115 are two irrational numbers between 0.7 and 0.77