Question

3+2 root 2/ 2- root 2 = a+b root 2
please answer

Answer 1

Answer:

a=5

b=3.5 or 7/2

Step-by-step explanation:

(3+2 √2)/( 2- √ 2) = a+b √ 2

LHS=(3+2 √2)( 2+ √ 2)/( 2- √ 2)( 2+√ 2)

     = (6 + 3 √2 + 4√2 + 4 ) / ( 4- 2)

     = (10 + 7√2)/2

    = 5 + 7√2/2

    = RHS  =   a+b √ 2

THEREFORE

a = 5 and b= 7/2 (answer )

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