Math, asked by nandini94, 1 year ago

rationalize the denominator of 3root2 +2root3 /3root2-2root3

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Answers

Answered by Panzer786
12
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..... :-)

nandini94: thank you so much
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