Question

m√5 = m√2 + 1
Find m

Answer 1

Here is your answer hope it helps you

Answer 2

Hey Mate !

Here is your solution :

Given,

=> m√5 = m√2 + 1

=> m√5 - m√2 = 1

By taking m as common in L.H.S,

=> m ( √5 - √2 ) = 1

=> m = 1 ÷ ( √5 - √2 )

By multiplying in numerator and denominator of R.H.S by ( √5 + √2 ).

=> m = 1 ( √5 + √2 ) ÷ ( √5 - √2 ) ( √5 + √2 )

Using identity :

[ ( a + b ) ( a - b ) = a² - b² ]

=> m = ( √5 + √2 ) ÷ { ( √5 )² - ( √2 )² }

=> m = ( √5 + √2 ) ÷ ( 5 - 2 )

=> m = ( √5 + √2 ) / 3

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Hope it helps !! ^_^