Which is greater ?

Given, √2 or ∛3

Need to find the greater number

⇒ The order of the given irrational number is 2 and 3

⇒ now, we have to convert each irrational number into irrational number with same order

⇒ First we need to do the LCM of 2 and 3 is 6

⇒ now, each irrational number is converted into order of 6

⇒ √2 =

=

=

=

and

⇒ ∛3 =

=

=

=

⇒ is greater than

∴ ∛3 > √2

Hence, ∛3 is greater than √2