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Hello guys this is my crazy question please solve this only the red rounded problem bumper offer No faultu solutions​

Answer»

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(6 - 42) / (6 + 4√2)

• By rationalizing the denominator :-

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

= (6 - 4√2)² / [ (6)² - (4√2)² ]

= (6² + 4√2² - 2 × 6 × 4√2) / (36 - 32)

= (36 + 32 - 48√2) / 4

= (68 - 48√2) / 4

= [ 4(17 - 12√2) ] / 4

• 4 cancels in the numerator and the denominator :-

= 17 - 12√2

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