Rationalize the denominaror of 1/√6+√5-√11
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Answer:
1/√6+√5-√11
1/√6+√5/1-√11/1
LCM of denominator is √6
(1+√5-√11) ÷√6
1+√5-√11/√6 ×-1-√5+√11/√6
multiply
(1)²-(√5)²-(√11)²÷6
1-5-11÷6
-15/6
-5/2 answer
isha1936:
it may help you
Answered by
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Step-by-step explanation:
= 1/√6+√5-√11
=[1/√6+√5-√11][(√6+√5)+√11/(√6+√5)+√11]
=(√6+√5)+√11/(√6+√5)^2-(√11)^2
=√6+√5+√11/[(√6)^2+(√5)^2+2×√6×√5]-11
=√6+√5+√11/(6+5+2√30)-11
=√6+√5+√11/11+2√30-11
=√6+√5+√11/2√30
again,
[√6+√5+√11/2√30] [√30/√30]
[√30(√6+√5+√11)]/[2√30*√30]
(6√5+5√6+√330)/2*30
6√5+5√6+√330/60
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