simplify by rationalising the denominator √7+√2/9+2√14
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Heya !!!
✓7 + ✓2 / 9 + 2✓14
=> ✓7 + ✓2/ 9 + 2✓14 × 9 - 2✓14 / 9 - 2✓14
=> ( ✓7 + ✓2) ( 9 - 2✓14 ) / ( 9 + 2✓14) ( 9 - 2✓14)
=> ✓7 ( 9 - 2✓14 ) + ✓2 ( 9 - 2✓14) / (9)² - (2✓14)²
=> 9✓7-2✓98 + 9✓2 - 2✓28 / 81 - 56
=> 9 ✓7 -2✓7 × 7 × 2 + 9 ✓2 -2✓ 2×2×7 / 25
=> 9✓7 -14✓2 + 9✓2 - 4✓7/25
=> 5✓7 -5✓2 / 25
=> 5(✓7-✓2)/25
=> ✓7-✓2/5
HOPE IT WILL HELP YOU...... :-)
✓7 + ✓2 / 9 + 2✓14
=> ✓7 + ✓2/ 9 + 2✓14 × 9 - 2✓14 / 9 - 2✓14
=> ( ✓7 + ✓2) ( 9 - 2✓14 ) / ( 9 + 2✓14) ( 9 - 2✓14)
=> ✓7 ( 9 - 2✓14 ) + ✓2 ( 9 - 2✓14) / (9)² - (2✓14)²
=> 9✓7-2✓98 + 9✓2 - 2✓28 / 81 - 56
=> 9 ✓7 -2✓7 × 7 × 2 + 9 ✓2 -2✓ 2×2×7 / 25
=> 9✓7 -14✓2 + 9✓2 - 4✓7/25
=> 5✓7 -5✓2 / 25
=> 5(✓7-✓2)/25
=> ✓7-✓2/5
HOPE IT WILL HELP YOU...... :-)
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