rationalise the denominator (6-4√3)÷(6+4√3)
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( 6 - 4✓3 ) / ( 6 + 4✓3 )
=> ( 6 - 4✓3 / 6+4✓3) × ( 6-4✓3) / ( 6+4✓3)
=> ( 6 - 4✓3 ) ( 6-4✓3 ) / ( 6+4✓3 ) ( 6-4✓3)
=> ( 6-4✓3)² / (6)² - (4✓3)²
=> (6)² + (4✓3)² - 2 × 6 × 4✓3 / 36 - 48
=> 36 + 48 - 48✓3 / -12
=> 84 - 48✓3 / - 12
=> -12 ( -7 + 4✓3 ) / -12
=> 4✓3 - 7 [ Answer ]
( 6 - 4✓3 ) / ( 6 + 4✓3 )
=> ( 6 - 4✓3 / 6+4✓3) × ( 6-4✓3) / ( 6+4✓3)
=> ( 6 - 4✓3 ) ( 6-4✓3 ) / ( 6+4✓3 ) ( 6-4✓3)
=> ( 6-4✓3)² / (6)² - (4✓3)²
=> (6)² + (4✓3)² - 2 × 6 × 4✓3 / 36 - 48
=> 36 + 48 - 48✓3 / -12
=> 84 - 48✓3 / - 12
=> -12 ( -7 + 4✓3 ) / -12
=> 4✓3 - 7 [ Answer ]
pardeep53:
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