How to solve this equation?
Answers
Answer: 35× sqroot(2) ÷12 is the answer.
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Explanation
Note that:
sqroot(2)= 1.414
1.414×1.414= 2
sqroot(8)= 2× sqroot(2) = 2×1.414
sqroot(9)= 3
sqroot(1)= 1
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Answer= 2×1.414/3 - 1×3/1.414 + 5×3/(2×1.414)
Multiply and divide by 2 on middle term,
Answer= 2×1.414/3 - 6/(2×1.414) + 15/(2×1.414)
Add middle and third terms,
Answer= 2×1.414/3 + 9/(2×1.414)
Multiply and divide by 2×1.414 on first term,
Answer= 8/(6×1.414) + 9/(2×1.414)
Multiply and divide by 3 on second term,
Answer= 8/(6×1.414) + 27/(6×1.414)
Adding first and second terms,
Answer= (8+27)/ (6×1.414)
Answer= 35/ (6×1.414)
Multiply and divide by 1.414,
Answer= 35× 1.414/ (6×1.414×1.414)
Answer= 35× 1.414 /12 = 4.125
Answer= 35× sqroot(2) /12.
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