SOLUTION: The cube root of (12 times the square root of 12) {{{root(3,12sqrt(12))}}}

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Question 970671: The cube root of (12 times the square root of 12)

Found 3 solutions by checkley77, Edwin McCravy, MathTherapy:
Answer by checkley77(12844)   (Show Source): You can put this solution on YOUR website!
CUBE RT(12*SQRT12)
CUBE RT(12*3.464)
CUBE RT(41.57)=3.464 ANS.

Answer by Edwin McCravy(20056)   (Show Source): You can put this solution on YOUR website!
The other tutor only gave you an approximate decimal solution using
a calculator.  That's not what your teacher wants.  Your teacher wants
an exact answer.  Here's the way to do it using fraction exponents:



Write both 12's as 22·3

  

Write the square root as the  power
and the cube root as the  power:



Make everything have an exponent by giving a 1 exponent
to whatever doesn't have an exponent showing:



Remove the inner parentheses by multiplying exponents:





Add the exponents of 2 and the exponents of 3



Change mixed number exponent  to 



Remove the remaining parentheses by multiplying exponents:







Erase the 1 exponent and change the  exponent to a square root



Edwin


Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!
The cube root of (12 times the square root of 12)

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________ ------- Multiplying exponents
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