find the value of A and B if root 11 minus root 7 / root 11 + root 7 equal to a minus root 776
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Answered by
5
Heya !!!
✓11 - ✓7/ ✓11 + ✓7
Rationalizing the denominator ✓11 + ✓7
=> ✓11 - ✓7/✓11 + ✓7 × ✓11 - ✓7/ ✓11- ✓7
=> ( ✓11- ✓7) (✓11-✓7) / ( 11 + ✓7) ( ✓11 - ✓7)
=> ( ✓11- ✓7)² / ( ✓11)² - (✓7)²
=> (✓11)² + (✓7)² - 2 × ✓11 × ✓7 / 11-7
=> 11 + 7 - 2✓77 / 4
=> 18 - 2✓77/4
=> 2(9-✓77)/4
=> 9 - ✓77/2
A = 9 /2 and B = ✓77/2
HOPE IT WILL HELP YOU...... :-)
✓11 - ✓7/ ✓11 + ✓7
Rationalizing the denominator ✓11 + ✓7
=> ✓11 - ✓7/✓11 + ✓7 × ✓11 - ✓7/ ✓11- ✓7
=> ( ✓11- ✓7) (✓11-✓7) / ( 11 + ✓7) ( ✓11 - ✓7)
=> ( ✓11- ✓7)² / ( ✓11)² - (✓7)²
=> (✓11)² + (✓7)² - 2 × ✓11 × ✓7 / 11-7
=> 11 + 7 - 2✓77 / 4
=> 18 - 2✓77/4
=> 2(9-✓77)/4
=> 9 - ✓77/2
A = 9 /2 and B = ✓77/2
HOPE IT WILL HELP YOU...... :-)
Answered by
1
a=9/2 and b=√77/2..
hope it helps.
hope it helps.
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