Question

find two irrational number between √2 & √3​

Answer 1

QUESTION:–

Find two irrational number between √2 and √3.

SOLUTION:–

Irrational number between a and b = √ab

Irrational number between √2 and √3=

$\sqrt{ \sqrt{2} \times \sqrt{3} } \\ \\ = \sqrt{ \sqrt{6} } \\ \\ = \sqrt[4]{6}$

Irrational number between [tex]{\sqrt[4]{6}[/tex] and √3 =

$\sqrt{ \sqrt[4]{6} \times \sqrt{3} }$

Two irrational numbers between√2 and √3 are

$\sqrt[4]{6} \: \: and \: \: \sqrt{ \sqrt[4]{6} \sqrt{3} }$

Points to Remember

• Use correct formula
• Don't miss any symbol
• Use symbols carefully
• Do correct calculations
• Verify the result, if required.