Rationalize the denominator of root 2 root 3/root2-root3
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Answered by
34
Hiii friend,
✓2 + ✓3/ ✓2 - ✓3
Rationalizing the denominator ✓2-✓3
=> (✓2+✓3)/(✓2-✓3) ×(✓2+✓3)/(✓2+✓3)
=> (✓2+✓3)(✓2+✓3)/(✓2-✓3)(✓2+✓3)
=> (✓2+✓3)²/(✓2)² - (✓3)²
=> (✓2)² + (✓3)² + 2 × ✓2 × ✓3/2-3
=> 2 + 3 + 2✓6/-1
=> 5+2✓6/-1
HOPE IT WILL HELP YOU...... :-)
✓2 + ✓3/ ✓2 - ✓3
Rationalizing the denominator ✓2-✓3
=> (✓2+✓3)/(✓2-✓3) ×(✓2+✓3)/(✓2+✓3)
=> (✓2+✓3)(✓2+✓3)/(✓2-✓3)(✓2+✓3)
=> (✓2+✓3)²/(✓2)² - (✓3)²
=> (✓2)² + (✓3)² + 2 × ✓2 × ✓3/2-3
=> 2 + 3 + 2✓6/-1
=> 5+2✓6/-1
HOPE IT WILL HELP YOU...... :-)
Answered by
27
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Your answer is given in the attachment
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Thanks
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