Question

irrational number between 0.42 and 1.14​

Answer 1

Hello Dear

Here is. your Answer method

⏭️⏭️We know that 1.42= (2)^{1/2} and 1.73= (3)^{1/2}

Multiplying and Dividing powers of 2 and 3 by 2 we get -

(2)^{2/4} and (3)^{2/4}

Now,solving numerator of powers we get -

(4)^{1/4} and (9)^{1/4}

Now,we can see that numbers between them can be (5)^{1/4},(6)^{1/4},(7)^{1/4},(8)^{1/4}

Similarly, we can multiply and divide the power of given two irrational numbers by any other number to find more irrational numbers between two irrational numbers.

↔️↔️↔️↔️↔️↔️↔️↔️↔️↔️

I hope its help you