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Need help solving the indicated operations

2√[48] + 7√[12] –√[27]

2007-07-24 12:42:48 · 6 answers · asked by Anonymous in Science & Mathematics Mathematics

6 answers

48 = 16 * 3
12 = 4 * 3
27 = 9 * 3
Thus we can write the expression as:

2 root(16*3) + 7 root(4 * 3) - root(9 * 3)
= 2*4 root(3) + 7 *2 root(3) - 3 root(3)
= (8 + 14 - 3) * root(3)
= 19 * root(3)


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2007-07-24 12:47:07 · answer #1 · answered by G M 2 · 0 0

2√48 + 7√12 - √27 =
2√(16•3) + 7√(4•3) - √(9•3) =
2•4√3 + 7•2√3 - 3√3 =
8√3 + 14√3 - 3√3 =
19√3

2007-07-24 19:47:56 · answer #2 · answered by Philo 7 · 0 0

2√[48] + 7√[12] –√[27]
= 2√(4*4*3) + 7√(4*3) - √(9*3)
= 2*2*2√3 + 7*2√3 - 3√3
= 8√3 + 14√3 - 3√3
= 19√3

2007-07-24 19:50:05 · answer #3 · answered by fofo m 3 · 0 0

simpified:
2√3√16 + 7√3√4 - √3√9

2*4*√3 + 7*2*√3 - 3*√3

8√3 + 14√3 - 3√3

19√3

solved:

32.90896534

2007-07-24 19:50:30 · answer #4 · answered by Lin 2 · 0 0

2√[2^4x3] + 7√[2^2x3] –√[3^3]

8√3 + 14√3 – 3√3

19√3

2007-07-24 19:53:31 · answer #5 · answered by Anonymous · 0 0

2(rt48) =2(rt16)(rt3), =(2)(4)(rt3)=8(rt3)
7(rt12) =7(rt4)(rt3), =(7)(2)(rt3) =14(rt3)
(rt27) = (rt9)(rt3) =3(rt3)

Therefore 2(rt48) + 7(rt12) -(rt27)=8(rt3)+14(rt3)-3(rt3)
=19(rt3)

2007-07-24 19:54:14 · answer #6 · answered by Grampedo 7 · 0 0

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