Question

if a=1- root 2 then find the value of (a - 1 by a)^3​

Answer 1

Step-by-step explanation: Given :- a = 1 - √2

To find :-  ( a - 1 ) / a

∴ Substituting the Value of a = 1 - √2 in the above equation we get :-

( 1 - √2 - 1 ) / ( 1 - √2 )

= ( -√2 ) / ( 1 - √2 )

Multiplying Both the sides by ( 1 + √2 ) we get :-

( -√2 )( 1 + √2 ) / ( 1 - √2 )( 1 + √2 )

= ( -√2 - 2 ) / ( -1 )

= ( √2 + 2 )

I Hope this Answer Helps You !!!

Answer 2

Answer:

Step-by-step explanation: Given :- a = 1 - √2

To find :-  ( a - 1 ) / a

∴ Substituting the Value of a = 1 - √2 in the above equation we get :-

( 1 - √2 - 1 ) / ( 1 - √2 )

= ( -√2 ) / ( 1 - √2 )

Multiplying Both the sides by ( 1 + √2 ) we get :-

( -√2 )( 1 + √2 ) / ( 1 - √2 )( 1 + √2 )

= ( -√2 - 2 ) / ( -1 )

= ( √2 + 2 )