How do you simplify this math problem?

√96 * 2√98

5 Answers

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  • Anonymous
    9 years ago
    Favorite Answer

    Multiplying out both terms and simplifying the solution, we obtain...

    2√(96 * 98)

    = 2√(4 * 24 * 2 * 49)

    = 2 * 2 * 7 * √(4 * 6 * 2)

    = 28 * 2√(2 * 2 * 3)

    = 28 * 2 * 2 * √3

    = 112√3

    I hope this helps!

    Source(s): Knowledge
  • 9 years ago

    sq rt 16 * sq rt 6 * 2 sq rt 49 * sq rt 2

    4 sq rt 6* 14 sq rt 2= 56 sq rt 12 = [112 sq rt 3 ]<--- answer

    sq rt 96 ~9.80

    sq rt 98 ~9.90 *2= 19.80 19.8 *9.8=194.04 112 * sq rt 3=193.99 both ~ 194

  • Anonymous
    9 years ago

    √96 = 9.8 (rounded to the nearest tenth)

    9.8 * 2 = 19.6

    √98 = 9.9 (again,rounded to the nearest tenth)

    19.6 * 9.9 = 194.04 (rounded to the nearest tenth)

    So the answer is 194.04

    Source(s): A calculator and math skillz =P
  • 9 years ago

    sqrt(96) * 2*sqrt(98)

    = 2*sqrt(96*98)

    = 2*sqrt(9408)

    = 2*sqrt(3136*3)

    = 2*sqrt(3136)*sqrt(3)

    = 2*56*sqrt(3)

    = 112*sqrt(3)

    = sqrt(12544)*sqrt(3)

    = sqrt(12544*3)

    = sqrt(37632)

    =~ 193.98969044771425687507399024866

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  • Anonymous
    9 years ago

    okays so wat u do is use the general rule:

    arootb x crootd = (axc)root(bxd)

    so:

    2root(96x96)

    =2x 96

    =192

    hope this helps =D

    EDIT: lol realised i read it wrong == sorries

    so:

    2root(96x98)

    =2root(9408)

    =193.9896904.... (too bad answer isnt as neat =S )

    sorry bout that

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