Question

rational number between √2 and√3 is
a) √2+√3/2 b) √2-√3/2 c) 1.5 d) 1.8

Answer 1

Hello Mate!

As we know that :-

$\sqrt{2} = 1.4142...... \\ \sqrt{3} = 1.732........$

So rational that has to be inserted should be more that 1.414... and smaller than 1.742......

a) root 2 + root3/2
As irrational + irrational / rational = irrational
Hence root 2 + root 3 / 2 is ❎

b) root 2 - root 3 / 2
As similar to abovebone, simplification will be irrational.
Hence root 2 - root 3 / 2 is also ❎

c) 1.5
As its terminalting so it can be 15/10 or 3/2, aslo 1.5 comes in b/w of 1.41... and 1.73....
So option c is ✔✅

d.1.8
As 1.8 does not comes in between of 1.41... and 1.73.... so this option is ❎

Hope it helps☺!✌

Answer 2

Answer:

d.1.8

As 1.8 does not comes in between of 1.41... and 1.73.... so this option  

Hope it helps☺

Step-by-step explanation: