Question

Root 5 + 3 / root 3 - 2

Answer 1

First rationalize: root 5 + root 3 divided by root 5 - root 3,

we get, (root 5 + root 3)2 / (root 5 - root 3)( root 5 + root 3)

= (8+2 root 15)/2

now compare LHS and RHS,

(given), (8+2root15) / 2 = a+root 15b

=> 2(4+ root 15) / 2 = a+root15 b [here we removed the common factor and cancelled]

=> 4+ root 15 = a+ root 15 b

therefore, the value of 'a' can be 4 and the value of 'b' can be 1 ( as any no. multiplied with one will be the no. itself)

hope this helps u (cuz i went in details)

Answer 2

Answer:

the root of 5+3

= 5+3=8

and 8 is not the perfect square but it is a perfect cube

the root of 3-2

= 3-2=1

= one's root is itself

     

                                                      thank you

Step-by-step explanation: