SOLUTION: please help me solve simplify: {{{ sqrt (2ab^2) * sqrt (14ab^2) }}}

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Question 223215: please help me solve simplify: +sqrt+%282ab%5E2%29+%2A+sqrt+%2814ab%5E2%29+
Found 2 solutions by drj, MathTherapy:
Answer by drj(1380) About Me  (Show Source):
You can put this solution on YOUR website!
please help me solve simplify: +sqrt+%282ab%5E2%29+%2A+sqrt+%2814ab%5E2%29+

+sqrt+%282ab%5E2%29+%2A+sqrt+%2814ab%5E2%29=%28b%2Asqrt%282a%29%29%2A%28b%2Asqrt%2814a%29%29=b%5E2%2Asqrt%282a%2A14a%29=a%2Ab%5E2%2Asqrt%2828%29=a%2Ab%5E2%2Asqrt%284%29%2Asqrt%287%29=+2ab%5E2%2Asqrt%287%29+

I hope the above steps were helpful.

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Good luck in your studies!

Respectfully,
Dr J

Answer by MathTherapy(639) About Me  (Show Source):
You can put this solution on YOUR website!
please help me solve simplify: +sqrt+%282ab%5E2%29+%2A+sqrt+%2814ab%5E2%29+

sqrt%282ab%5E2%29%2Asqrt%2814ab%5E2%29 = sqrt%282%2A14%2Aa%2Aa%2Ab%5E2%2Ab%5E2%29 = sqrt%2828%2Aa%5E2%2Ab%5E4%29 = sqrt%287%2A2%5E2%2Aa%5E2%2Ab%5E4%29 = highlight_green%282ab%5E2%2Asqrt%287%29%29