SOLUTION: simplify :- 12 under root 18 - 6 under root 20 - 3 under root 50 + 8 under root 45
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-> SOLUTION: simplify :- 12 under root 18 - 6 under root 20 - 3 under root 50 + 8 under root 45
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Algebra: Radicals -- complicated equations involving roots
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Question 761928
:
simplify :-
12 under root 18 - 6 under root 20 - 3 under root 50 + 8 under root 45
Answer by
stanbon(75887)
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12 under root 18 - 6 under root 20 - 3 under root 50 + 8 under root 45
-----
(1/12)sqrt(18) - (1/6)sqrt(20) - (1/3)sqrt(50) + (1/8)sqrt(45)
-------
(3/12)sqrt(2) - (1/3)sqrt(5) - (5/3)sqrt(2) + (3/8)sqrt(5)
------
[(1/4)-(5/3)]sqrt(2) - [ (1/3)-(3/8)]sqrt(5)]
------
= [(3-20)/12)]sqrt(2) - [(8-9)/24]]sqrt(5)]
------
= (-17/12)sqrt(2) + (1/24)sqrt(5)
=========================================
Cheers,
Stan H.
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