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2015-11-02T17:50:09+08:00

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1.)  \sqrt{228,000,000 ^{3} }
( \sqrt{228 ^{3} } )( \sqrt{1,000,000 ^{3} } )


2) Simplify  \sqrt{228 ^{3} } = 228 ^{ \frac{3}{2} }
   228 ^{ \frac{3}{2} } = 228 ^{1 \frac{1}{2} }
   228 ^{1 \frac{1}{2} }  = (228 ^{1} )(228 ^{ \frac{1}{2} } ) = 228 \sqrt{228}
   228 \sqrt{228} =228 \sqrt{(4)(57)} = 228(2) \sqrt{57}
   228(2) \sqrt{57} =456 \sqrt{57}

3)  Simplify  \sqrt{1,000,000 ^{3} } = 1,000,000 ^{ \frac{3}{2} }
     1,000,000 ^{ \frac{3}{2} } = (1,000,000 ^{1} )(1,000,000 ^{ \frac{1}{2} } )
     1,000,000(1,000,000 ^{ \frac{1}{2} })=1,000,000 \sqrt{1,000,000}
     = 1,000,000(1,000) =1,000,000,000

4) Multiply the quantities, then simplify:
(0.000544)(456)(1,000,000,000)( \sqrt{57)}
= (0.248064)(1,000,000,000)( \sqrt{57} )
=  (248,064,000)  \sqrt{57}

With calculator:
= (248,064,000)(7.54983443527)
= 1,872,842,129.3508

(Please use this as guide to step-by-step solution.  You have posted similar problems with constant 0.000544.  Hope this helps.)  
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