rationalize the denominator of 3root2 +2root3 /3root2-2root3
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Hi friend,
3✓2+2✓3/3✓2-2✓3
=> 3✓2+2✓3/3✓2-2✓3 × 3✓2+2✓3/3✓2+2✓3
=> (3✓2+2✓3)²/(3✓2-2✓3)(3✓2+2✓3)
=> (3✓2)² + (2✓3)²+2 × 3✓2 × 2✓3/(3✓2)² - (2✓3)²
=> 9 × 2 + 4 × 3 + 12✓6 / 9 × 2 - 4 × 3
=> 18 + 12+ 12✓6 / 18 - 12
=> 30+12✓6/6
=> 6(5+2✓6)/6 = (5+2✓6)
=> 5+2✓6....Ans....
HOPE IT WILL HELP YOU..... :-)
3✓2+2✓3/3✓2-2✓3
=> 3✓2+2✓3/3✓2-2✓3 × 3✓2+2✓3/3✓2+2✓3
=> (3✓2+2✓3)²/(3✓2-2✓3)(3✓2+2✓3)
=> (3✓2)² + (2✓3)²+2 × 3✓2 × 2✓3/(3✓2)² - (2✓3)²
=> 9 × 2 + 4 × 3 + 12✓6 / 9 × 2 - 4 × 3
=> 18 + 12+ 12✓6 / 18 - 12
=> 30+12✓6/6
=> 6(5+2✓6)/6 = (5+2✓6)
=> 5+2✓6....Ans....
HOPE IT WILL HELP YOU..... :-)
nandini94:
thank you so much
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