Someone please help! simplify 3√56-7√24-√126+4√54 ?
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.. 3√56 - 7√24 - √126 + 4√54
= 3√(2*2*2*7) - 7√(2*2*2*3) - √(2*3*3*7) + 4√(2*3*3*3)
= 3*2√(2*7) - 7*2√(2*3) - 3√(2*7) + 4*3√(2*3)
= 6√14 - 14√6 - 3√14 + 12√6
= 3√14 - 2√6
= 3√(2*2*2*7) - 7√(2*2*2*3) - √(2*3*3*7) + 4√(2*3*3*3)
= 3*2√(2*7) - 7*2√(2*3) - 3√(2*7) + 4*3√(2*3)
= 6√14 - 14√6 - 3√14 + 12√6
= 3√14 - 2√6
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It's confusing my friend.
Is it (3√56)-(7√24)-(√126)+(4√54)
or 3√(56-7)√(24)-√(126+4)(√54).
If it is (3√56)-(7√24)-(√126)+(4√54),
then the simplified value is
3√[4.14] - 7√[4.6] - √[9.14] + 4√[9.6]
(3)(2)√[14] - (7)(2)√[6] - (3)√[14] + (4)(3)√[6]
6√14 - 14√6 - 3√14 + 12√6 (Rearrange)
6√14 - 3√14 - 14√6 + 12√6
(6 - 3)√14 (-14 + 12)√6
(3)√14 (-2)√6
3√14 - 2√6
Is it (3√56)-(7√24)-(√126)+(4√54)
or 3√(56-7)√(24)-√(126+4)(√54).
If it is (3√56)-(7√24)-(√126)+(4√54),
then the simplified value is
3√[4.14] - 7√[4.6] - √[9.14] + 4√[9.6]
(3)(2)√[14] - (7)(2)√[6] - (3)√[14] + (4)(3)√[6]
6√14 - 14√6 - 3√14 + 12√6 (Rearrange)
6√14 - 3√14 - 14√6 + 12√6
(6 - 3)√14 (-14 + 12)√6
(3)√14 (-2)√6
3√14 - 2√6
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2 square root 14 - 2 square root 6- 3 square root 14 + 3 square root 6. so the answer is square root of 6 minus square root of 14.
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3√56-7√24-√126+4√54
= 3√(4x14)-7√(4x6)-√(9x14)+4√(9x6)
= (3x2)√14-(7x2)√6-3√14+(4x3)√6
= 6√14-14√6-3√14+12√6
= 3√14 -2√6
= 3√(4x14)-7√(4x6)-√(9x14)+4√(9x6)
= (3x2)√14-(7x2)√6-3√14+(4x3)√6
= 6√14-14√6-3√14+12√6
= 3√14 -2√6
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3√56 - 7√24 - √126 + 4√54
3√4√14 - 7√4√6 - √9√14 + 4√9√6
3(2)√14 - 7(2)√6 - 3√14 + 4(3)√6
6√14 - 14√6 - 3√14 + 12√6
3√14 -2√6
3√4√14 - 7√4√6 - √9√14 + 4√9√6
3(2)√14 - 7(2)√6 - 3√14 + 4(3)√6
6√14 - 14√6 - 3√14 + 12√6
3√14 -2√6
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17.03051.
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Ewwww