document.write( "Question 454834: How do you solve this step by step? $\"sqrt%28+16x%5E8y%5E4+%29+\"$ \r
\n" ); document.write( "\n" ); document.write( "I haven't quite understood radicals yet. \n" ); document.write( "

Algebra.Com's Answer #312237 by Edwin McCravy(20056) $\"\"$ $\"About$

You can put this solution on YOUR website!
How do you solve this step by step? $\"sqrt%28+16x%5E8y%5E4+%29+\"$
\n" ); document.write( "

\r\n" );
document.write( "First the long way, then the shortcut:\r\n" );
document.write( " ______\r\n" );
document.write( "√16x⁸y⁴\r\n" );
document.write( "\r\n" );
document.write( "16 = 4‧4 = 2‧2‧2‧2\r\n" );
document.write( "x⁸ = x‧x‧x‧x‧x‧x‧x‧x\r\n" );
document.write( "y⁴= y‧y‧y‧y\r\n" );
document.write( "\r\n" );
document.write( " _________________________\r\n" );
document.write( "√2‧2‧2‧2‧x‧x‧x‧x‧x‧x‧x‧x‧y‧y‧y‧y\r\n" );
document.write( "\r\n" );
document.write( "Divide up into as many groups of 2 like factors\r\n" );
document.write( "as possible:\r\n" );
document.write( "\r\n" );
document.write( " _________________________________________\r\n" );
document.write( "√(2‧2)‧(2‧2)‧(x‧x)‧(x‧x)‧(x‧x)‧(x‧x)‧(y‧y)‧(y‧y)\r\n" );
document.write( "\r\n" );
document.write( "Write each pair as a square:\r\n" );
document.write( "\r\n" );
document.write( " ____________________\r\n" );
document.write( "√2²‧2²‧x²‧x²‧x²‧x²‧y²‧y²\r\n" );
document.write( "\r\n" );
document.write( "Take the individual square roots:\r\n" );
document.write( "\r\n" );
document.write( " __ __  __  __ __  __ __  __\r\n" );
document.write( "√2²‧√2²‧√x²‧√x²‧√x²‧√x²‧√y²‧√y²\r\n" );
document.write( "\r\n" );
document.write( "The square roots and the squares cancel out,\r\n" );
document.write( "so you erase all the squares and the square roots:\r\n" );
document.write( "\r\n" );
document.write( "2‧2‧x‧x‧x‧x‧y‧y\r\n" );
document.write( "\r\n" );
document.write( "4x⁴y²\r\n" );
document.write( "\r\n" );
document.write( "Here is the one step short-cut:\r\n" );
document.write( " ______\r\n" );
document.write( "√16x⁸y⁴\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "The square root of 16 is 4.\r\n" );
document.write( "Take the square root of x⁸ by dividing the \r\n" );
document.write( "exponent by 2, to get x⁴\r\n" );
document.write( "\r\n" );
document.write( "Take the square root of y⁴by dividing the \r\n" );
document.write( "exponent by 2, to get y²\r\n" );
document.write( "\r\n" );
document.write( "Write:\r\n" );
document.write( "\r\n" );
document.write( "4x⁴y²\r\n" );
document.write( "\r\n" );
document.write( "Edwin

\n" ); document.write( "

\n" );